10th Standard Maths Question papers - study material, free online tests, previous year question papers, answer keys, topper answers, centum question paper, exam tips

TN State Board 10th Maths half yearly question and answers - by QB Admin - Jan 01, 2024 - View & Read

10th Maths Model Question Paper 2023 - by QB Admin - Mar 03, 2023 - View & Read

10th Standard Maths English Medium - Mensuration 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A shuttle cock used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are 5 cm and 2 cm. The height of the entire shuttle cock is 7 cm. Find its external surface area.
2)
What is the ratio of the volume of a cylinder, a cone, and a sphere. If each has the same diameter and same height?
3)
Find the number of coins, 1.5 cm is diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
4)
A spherical ball of iron has been melted and made into small balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?
5)
A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm find the total surface area of the article.

10th Standard Maths English Medium - Mensuration 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A funnel consists of a frustum of a cone attached to a cylindrical portion 12 cm long attached at the bottom. If the total height be 20 cm, diameter of the cylindrical portion be 12 cm and the diameter of the top of the funnel be 24 cm. Find the outer surface area of the funnel.
2)
A hemispherical section is cut out from one face of a cubical block such that the diameter l of the hemisphere is equal to side length of the cube. Determine the surface area of the remaining solid.
3)
A solid consisting of a right circular cone of height 12 cm and radius 6 cm standing on a hemisphere of radius 6 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of the water displaced out of the cylinder, if the radius of the cylinder is 6 cm and height is 18 cm.
4)
As shown in figure a cubical block of side 7 cm is surmounted by a hemisphere. Find the surface area of the solid.
5)
A right circular cylinder just enclose a sphere of radius r units. Calculate
(i) the surface area of the sphere
(ii) the curved surface area of the cylinder
(iii) the ratio of the areas obtained in (i) and (ii).

10th Standard Maths English Medium - Mensuration 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A factory manufactures 1,20,000 pencils daily The pencils are cylindric in shape, each of length 25 cm and circumference 1.5 cm. Determine the cost of colouring the curved surface of the pencils manufactured in one day at Rs 0.05 per cm².
2)
There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.
3)
The diameter of a sphere is decreased by 25% By what percent does its curved surface area decrease?
4)
A solid cylinder has total surface area of 462 sq. cm. Its ctrrved surface area is One-third its total surface area. Find the volume of cylinder
5)
A cone of height 24 cm has a curved surface area 550 cm². Find its volume

10th Standard Maths English Medium - Mensuration 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
If the radii of the circular ends of a conical bucket which is 45 cm high are 28 cm and 7 cm, find the capacity of the bucket. (Use π = \(\frac{22}{7}\))
2)
Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m x 16 m x 11 m.
3)
The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder
4)
In the hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system
5)
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m

10th Standard Maths English Medium - Mensuration 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its curved surface area and the total surface area.
2)
The curved surface area of a right circular cylinder of height 14 cm is 88 cm² . Find the diameter of the cylinder.
3)
A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?
4)
If one litre of paint covers 10 m², how many litres of paint is required to paint the internal and external surface areas of a cylindrical tunnel whose thickness is 2 m, internal radius is 6 m and height is 25 m.
5)
The radius of a conical tent is 7 m and the height is 24 m. Calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4 m?

10th Standard Maths English Medium - Mensuration 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
The radio of base of a one 5 cm and to height 12 cm. The slant height of the cone ___________
2)
If S₁ denotes the total surface area at a sphere of radius ૪ and S₂ denotes the total surface area of a cylinder of base radius ૪ and height 2r, then ___________
3)
A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?
4)
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?
5)
The volume of a frustum if a cone of height L and ends-radio and r₁and r₂ is ___________

10th Standard Maths English Medium - Mensuration 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
3)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
4)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
5)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to

10th Standard Maths English Medium - Trigonometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
\(\text { If } \tan ^{2} \theta=1-a^{2} \text { prove that }\sec \theta+\tan ^{3} \theta \operatorname{cosec} \theta=\left(2-a^{2}\right) \frac{3}{2}\)
2)
\(\text { If } a \cos \theta+b \sin \theta=m \ \text { and } a \sin \theta-b \cos \theta=n \text {. }\text { prove that } a^{2}+b^{2}=m^{2}+n^{2}\)
3)
\(\text { If } \operatorname{cosec} \theta-\sin \theta=m \text { and } \sec \theta-\cos \theta=\mathbf{n},\text { prove that }\left(m^{2} n\right)^{\frac{2}{3}}+\left(m n^{2}\right)^{\frac{2}{3}}=1 \text {. }\)
4)
\(\text { If } \tan \mathrm{A}=\mathrm{n} \tan \mathrm{B} \text { and } \sin \mathrm{A}=\mathrm{m} \sin \mathrm{B} \text {, Prove }\text { that } \cos ^{2} \mathrm{~A}=\frac{m^{2}-1}{n^{2}-1} \text {. }\)
5)
A tree is broken by the wind. the top struck the ground at an angle of 30^o and at a distance of 30 m from the root. Find the whole height of the tree.

10th Standard Maths English Medium - Trigonometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Prove that sin² Acos²B + cos²Asin²B + cos² Acos²B + sin²Asin² B=1
2)
if cos\(\theta \) + sin\(\theta \) =\(\sqrt { 2 } \) cos \(\theta \), then prove that cos\(\theta \) - sin\(\theta \) =\(\sqrt { 2 } \) sin\(\theta \)
3)
prove that (cosec\(\theta \) - sin\(\theta \)) (sec\(\theta \) - cos\(\theta \)) (tan\(\theta \) + cot\(\theta \)) = 1
4)
prove that \(\frac { sinA }{ 1+cosA } +\frac { sinA }{ 1-cosA } =2cosecA.\)
5)
if cosec\(\theta \) + cot\(\theta \) = p, then prove that cos\(\theta \) = \(\frac { { p }^{ 2 }-1 }{ { p }^{ 2 }+1 } \)

10th Standard Maths English Medium - Trigonometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
If sin (A - B) = \(\frac12\), cos (A + B) = \(\frac12\), 0^o < A + ≤ 90°, A > B, find A and B.
2)
Express the ratios cos A, tan A and see A in terms of sin A.
3)
Evaluate \(\frac { tan{ 65 }^{ o } }{ tan{ 25 }^{ o } } \)
4)
If sin 3A = cos (A - 26°), where 3A is an acute angle, find the value at A.
5)
Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

10th Standard Maths English Medium - Trigonometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Given tan A \(\frac { 4 }{ 3 } \) find the other trigonometric ratios of the angle A.
2)
Prove that \(\frac { sin\theta -cos\theta +1 }{ sin\theta +cos\theta -1 } =\frac { 1 }{ sec\theta -tan\theta } \) using the identity sec²θ= 1+ tan²θ.
3)
Prove that sec A (1 - sin A) (sec A + tan A) = 1.
4)
In a right triangle ABC, right-angled at B, if tan A = 1, then verify that 2 sin A cos A = 1.
5)
\(\frac { sin\quad \theta }{ 1+cos\theta } +\frac { 1+cos\theta }{ sin\quad \theta } =2cosec\theta \)

10th Standard Maths English Medium - Trigonometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Prove that tan²\(\theta \)-sin²\(\theta \) = tan²\(\theta \) sin²\(\theta \)
2)
prove that \(\frac { sinA }{ 1+cosA } =\frac { 1-cosA }{ sinA } \)
3)
prove that 1+\(\frac { co{ t }^{ 2 }\theta }{ 1+cosec\theta } \) = cosec\(\theta \)
4)
prove that sec\(\theta \) - cos\(\theta \) = tan \(\theta \) sin\(\theta \)
5)
prove that \(\sqrt { \frac { 1+cos\theta }{ 1-cos\theta } } \) = cosec \(\theta \) + cot\(\theta \)

10th Standard Maths English Medium - Trigonometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Given that sin ∝ = \(\frac{1}{2}\) and cos β = \(\frac{1}{2}\), then the value of (∝ + β) is ___________
2)
The value of the expression \(\left[ \frac { { sin }^{ 2 }{ 22 }^{ o }+{ sin }^{ 2 }{ 68 }^{ o } }{ { cos }^{ 2 }{ 22 }^{ 0 }+{ cos }^{ 2 }{ 68 }^{ 0 } } +{ sin }^{ 2 }{ 63 }^{ o+ }{ cos }63^{ 0 }{ sin27 }^{ 0 } \right] \)is ___________
3)
If 4 tan θ = 3, then \(\left( \frac { 4sin\theta -cos\theta }{ 4sin\theta +cos\theta } \right) \) is equal to ___________
4)
If sin θ - cos θ = 0, then the value of (sin⁴θ + cos⁴θ) is ___________
5)
Sin(45^o+ θ ) - cos(45^o- θ) is equal to ___________

10th Standard Maths English Medium - Trigonometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
3)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
4)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
5)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to

10th Standard Maths English Medium - Geometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
In the figure, if \(\triangle A B E \cong \triangle \text { ACD, show that }\triangle A D E \sim \triangle A B C\)
2)
Prove that the area of an equilateral triangle described on one side of a square in equal to half the area of the equilateral triangle described on one of its diagonals.
3)
Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are \(1 \frac{1}{2}\) times the corresponding sides of the isosceles triangle.
4)
O is any point inside a triangle \(\Delta\)ABC The bisector of \(\angle A O B, \angle B O C, \angle C O A\) meet the sides AB, BC and CA in point D, E and F respectively. Show that AD x BE x CF = DB x EC x FA.
5)
In AD is the median of \(\Delta\)ABC The bisector of \(\angle\)ADB and \(\angle\)ADC meet AB and AC in E and F respefiively. Prove that EF || BC

10th Standard Maths English Medium - Geometry 8 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac{3}{5}\) of the corresponding sides of the triangle PQR (scale factor \(\frac { 3 }{ 5 } <1\))
2)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 7 }{ 4 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 7 }{ 4 } \)>1)
3)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 2 }{ 3 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 2 }{ 3 } <1\)).
4)
Construct a triangle similar to a given triangle LMN with its sides equal to \(\frac { 4 }{ 5 } \) of the corresponding sides of the triangle LMN (scale factor \(\frac { 4 }{ 5 }<1\)).
5)
Construct a triangle similar to a given triangle ABC with its sides equal to \(\frac { 6 }{ 5 } \) of the corresponding sides of the triangle ABC (scale factor \(\frac { 6 }{ 5 } >1\)).

10th Standard Maths English Medium - Geometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A boy of height 90cm is walking away from the base of a lamp post at a speed of 1.2m/sec. If the lamppost is 3.6m above the ground, find the length of his shadow cast after 4 seconds.
2)
Two poles of height ‘a’ metres and ‘b’ metres are ‘p’ metres apart. Prove that the height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is given by \(\frac { ab }{ a+b } \) meters
3)
A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamp post. The girl whose height is 12.5 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamp post are in a same line, find the height of the lamp post.
4)
If \(\triangle\)ABC~\(\triangle\)DEF such that area of \(\triangle\)ABC is 9cm² and the area of \(\triangle\)DEF is 16cm² and BC = 2.1 cm. Find the length of EF
5)
Two vertical poles of heights 6 m and 3 m are erected above a horizontal ground AC. Find the value of y.

10th Standard Maths English Medium - Geometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
In \(AD\bot BC\) prove that AB²+ CD² = BD²+ AC².
2)
BL and CM are medians of a triangle ABC right angled at A.
Prove that 4(BL²+ CM²) = 5BC².
3)
Prove that in a right triangle, the square of 8. the hypotenure is equal to the sum of the squares of the others two sides.
4)
A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.
5)
In figure 0 is any point inside a rectangle ABCD. Prove that OB² + OD²= OA²+ OC²

10th Standard Maths English Medium - Geometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
In \(\triangle\)ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE || BC AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm and AE = 1.8 cm.
2)
In figure if PQ || RS Prove that \(\Delta POQ\sim \Delta SOQ\)
3)
In figure the line segment xy is parallel to side AC of \(\Delta ABC\) and it divides the triangle int two parts of equal areas. Find the ratio \(\cfrac { AX }{ AB } \)
4)
The areas of two similar triangles \(\Delta\)ABC and \(\Delta\)DEF are 81 cm² and 100 cm² respectively.If EF = 5 cm, then find BC.
5)
\(\text { The area of } \triangle P Q R=64 \mathrm{~m}^{2} \text {. Find the area of }\Delta L M N \text { if } \frac{P Q}{L M}=\frac{4}{5} \text { and } \Delta P Q R \sim \Delta L M N\)

10th Standard Maths English Medium - Geometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Show that \(\triangle\) PST~\(\triangle\) PQR
2)
Is \(\triangle\)ABC ~ \(\triangle\)PQR?
3)
Observe Fig and find \(\angle\)P
4)
\(\angle A=\angle CED\) prove that \(\Delta\ CAB \sim \Delta CED\) Also find the value of x.
5)
QA and PB are perpendiculars to AB. If AO = 10 cm, BO = 6 cm and PB = 9 cm. Find AQ.

10th Standard Maths English Medium - Geometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
2)
I the given figure DE||AC which of the following is true.
3)
S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR
4)
In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.
5)
The ratio of the areas of two similar triangles is equal to ____________

10th Standard Maths English Medium - Geometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
3)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
4)
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
5)
The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

10th Standard Maths English Medium - Coordinate Geometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
A mobile phone is put to use when the battery power is 100%. The percent of battery power ‘y’ (in decimal) remaining after using the mobile phone for x hours is assumed as y = − 0.25 x + 1

Draw a graph of the equation.
2)
Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).
3)
If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.
4)
Find the area of a triangle vertices are(1, -1), (-4, 6) and (-3, -5).
5)
Find a relation between x and y if the points (x,y) (1, 2) and (7, 0) are collinear.

10th Standard Maths English Medium - Coordinate Geometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Find the area of the triangle whose vertices are (-3, 5) , (5, 6) and (5, - 2)
2)
Show that the points P(-1, 5, 3), Q(6, -2) , R(-3, 4) are collinear.
3)
If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.
4)
If the points P(-1, -4), Q (b, c) and R(5, -1) are collinear and if 2b + c = 4, then find the values of b and c.
5)
The floor of a hall is covered with identical tiles which are in the shapes of triangles. One such triangle has the vertices at (-3, 2), (-1, -1) and (1, 2). If the floor of the hall is completely covered by 110 tiles, find the area of the floor.

10th Standard Maths English Medium - Coordinate Geometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
If the points A (0, 1), B (x, y), C (5, - 2) and D (2, - 1) form a parallelogram, then find the values of x, y.
2)
The mid points of the sides of a triangle are (2, 1), (- 5, 7) and (- 5, - 5). Find the equation of the sides.
3)
Find the equationto the straight line which passes through the points (3, 4) and have intercepts on the axes.
(i) equal in magnitude but oppsite in sign
(ii) such that their sum is 14.

10th Standard Maths English Medium - Coordinate Geometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).
2)
Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.
3)
If A (-5, 7), B (-4, -5), C (-1, -6) and D (4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
4)
Find the area of triangle whose vertices are (1 , 1), (2,3) and (4, 5).
5)
Find the area of triangle ABC, where A (0, 0), B(3, 4) and C (0, 3).

10th Standard Maths English Medium - Coordinate Geometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Find the area of the triangle formed by the points (1, –1), (–4, 6) and (–3, –5)
2)
Determine whether the sets of points are collinear? \((-\frac12 ,3)\), (- 5, 6) and (-8, 8)
3)
Vertices of given triangles are taken in order and their areas are provided aside. In each case, find the value of ‘p’?

S.No Vertices Area (sq.units)

(i) (0, 0), (p, 8), (6, 2) 20

(ii) (p, p), (5, 6), (5, -2) 32
4)
The line r passes through the points (–2, 2) and (5, 8) and the line s passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to s ?
5)
The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

10th Standard Maths English Medium - Coordinate Geometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________
2)
If the points (0, 0), (a, 0) and (0, b) are colllinear, then ____________
3)
If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________
4)
The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________
5)
The four vertices of a quardrilateral are (1, 2), (5, -6), (7, -4) and (k, -2) taken in order. If the area of quadrilateral is zero then find the value of k.

10th Standard Maths English Medium - Coordinate Geometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 31, 2022 - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
3)
The straight line given by the equation x = 11 is
4)
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
5)
The point of intersection of 3x − y = 4 and x + y = 8 is

10th Standard Maths English Medium - Algebra 8 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Discuss the nature of solutions of the following quadratic equations.
x² + x - 12 = 0
2)
Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0
3)
Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0
4)
Draw the graph of y = x² + x - 2 and hence solve x² + x - 2 = 0
5)
Draw the graph of y = x² - 4 and hence solve x² - x - 12 = 0

10th Standard Maths English Medium - Algebra 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
\(\text { Solve } 4 x-2 y+3 z=1, x+3 y-4 z=-7,3 x+y+2 z=5\)
2)
\(\text { Solve } x=3 z-5,2 x+2 z=y+16,7 x-5 z=3 y+19\)
3)
Sum of the areas of two squares is 468 m². If the difference of their perimeters is 24 m, find the sides of the two squares
4)
Two water taps together can fill a tank in \(9 \frac{3}{8}\) hours. The tap of liu'ger diarnetcr takcs 10 hours less than the snlaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
5)
A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speid. Find its usual speed.

10th Standard Maths English Medium - Algebra 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
The sum of two numbers is 15. If the sum of their reciprocals is \(\frac{3}{10}\), find the numbers.
2)
A two digit number is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.
3)
Seven years ago, Varun's age was five times the square of swati's age. Three years hence Swati's age will be two fifth of Varun's age. Find their present ages.
4)
A chess board contains 64 equal squares and the area of each square is 6.25 cm², A border round the board is 2 cm wide.
5)
Find two consecutive natural numbers whose product is 20.

10th Standard Maths English Medium - Algebra 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Solve \(\frac {1}{3}\) (x + y - 5) = y - z = 2x - 11 = 9 - (x + 2z).
2)
One hundred and fifty students are admitted to a school. They are distrbuted over three sections A, B and C. If 6 students are shifted from section A to section C, the sections will have equal number of students. If 4 times of students of section C exceeds the number of students of section A by the number of students in section B, find the number of students in the three sections.
3)
Find the GCD of the following by division algorithm 2x⁴ + 13x³ + 27x²+23x + 7, x³ + 3x² + 3x + 1, x² + 2x + 1
4)
Reduce the given Rational expressions to its lowest form
\(\frac { { x }^{ 3a }-8 }{ { x }^{ 2a }+2{ x }^{ a }+4 } \)
5)
Simplify \(\frac { \frac { 1 }{ p } +\frac { 1 }{ q+r } }{ \frac { 1 }{ p } -\frac { 1 }{ q+r } } \times \left( 1+\frac { { q }^{ 2 }+{ r }^{ 2 }-{ p }^{ 2 } }{ 2qr } \right) \)

10th Standard Maths English Medium - Algebra 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Solve the following system of linear equations in three variables.
x + y + z = 6; 2x + 3y + 4z = 20;
3x + 2y + Sz = 22
2)
Using quadratic formula solve the following equations.
p²x² + (P² -q²) X - q² = 0
3)
Using quadratic formula solve the following equations.9x²-9(a+b)x+(2a²+5ab+2b²)=0
4)
Find the values of k for which the following equation has equal roots.
(k - 12)r + 2(k - 12)x + 2 = 0
5)
Prove that the equation x²(a²+b²)+2x(ac+bd)+(c²+ d²) = 0 has no real root if ad≠bc.

10th Standard Maths English Medium - Algebra 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Solve 2x − 3y = 6, x + y = 1
2)
Find the LCM of the following
8x⁴y², 48x²y⁴
3)
Find the LCM of the given expressions.
4x²y, 8x³y²
4)
Find the LCM and GCD for the following and verify that f(x) x g(x) = LCM x GCD
21x²y, 35 xy²
5)
Reduce each of the following rational expressions to its lowest form.
\(\frac { { x }^{ 2 }-1 }{ { x }^{ 2 }+x } \)

10th Standard Maths English Medium - Algebra 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Which of the following are linear equation in three variables ___________
2)
Graphically an infinite number of solutions represents ___________
3)
Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynimials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM
4)
The HCF of two polynomials p(x) and q(x) is 2x(x + 2) and LCM is 24x(x + 2)² (x - 2) if p(x) = 8x³+ 32x²+ 32x, then q(x) ___________
5)
Consider the following statements:
(i) The HCF of x+y and x⁸-y⁸ is x+y
(ii) The HCF of x+y and x⁸+y⁸ is x+y
(iii) The HCF of x-y nd x⁸+y⁸ is x-y
(iv) The HCF of x-y and x⁸-y⁸ is x-y

10th Standard Maths English Medium - Algebra 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
3)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
4)
\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is
5)
y² + \(\frac {1}{y^{2}}\) is not equal to

10th Standard Maths English Medium - Numbers and Sequences 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Show that the square of an odd positive integer is of the form 8q + 1, for some integer q.
2)
Show that if x and y are both odd positive integers, then x² + y² is even but not divisible by 4.
3)
If the H.C.F. of 210 and 55 is expressible in the form 210 x 5 + 55y. Find y.
4)
lf d is the H.C.F. of 56 and 72, find x and y satisfying d = 56x + 72y
5)
In an Interview, the number of participants in Mathematics, Physics and Chemistry are 60, 84 and 108 respectively. Find the minimum number of rooms iequired if in each room the same number of participants to be seated and alt of them being in the same subject

10th Standard Maths English Medium - Numbers and Sequences 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.
2)
How many terms of the AP: 24, 21, 18, ... must be taken so that their sum is 78?
3)
Find the sum of first 24 terms of the list of numbers whose nth term is given by a_n= 3 + 2n.
4)
What is the greatest possible length which can be used to measure exactly the lengths 7 m; 3 m 85 cm ; 12 m 95 cm?
5)
Find the greatest number that will divide 43,91 and 183 so as to leave the sarne remainder in each case.

10th Standard Maths English Medium - Numbers and Sequences 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Find the LCM and HCF of 408 and 170 by applying the fundamental theorem of arithmetic.
2)
Find the greatest number consisting of 6 digits which is exactly divisible by 24,15,36?
3)
What is the smallest number that when divided by three numbers such as 35, 56 and 91 leaves remainder 7 in each case?
4)
Find the least number that is divisible by the first ten natural numbers.
5)
Find the remainders when 70004 and 778 is divided by 7

10th Standard Maths English Medium - Numbers and Sequences 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
lf 6ⁿ is a number such that n is a natural number.Check whether is any value of n \(\in\) N for which 6ⁿ is divisible by 7.
2)
Find the H.C.F. and L.C.M of 100 and 190 by fundamental theorem of arithmetic
3)
Write the H.C.F. of smallest composite number and the smallest Prime number
4)
The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8.20 am, then at what time will they again change simultaneously?
5)
\(\text { Does } 7 \text { divides }\left(2^{29}+3\right) ?\)

10th Standard Maths English Medium - Numbers and Sequences 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?
2)
Find the quotient and remainder when a is divided by b in the following a = −12, b = 5
3)
Show that the square of an odd integer is of the form 4q + 1, for some integer q.
4)
Find all positive integers, when divided by 3 leaves remainder 2.
5)
A man has 532 flower pots. He wants to arrange them in rows such that each row contains 21 flower pots. Find the number of completed rows and how many flower pots are left over.

10th Standard Maths English Medium - Numbers and Sequences 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
If m and n are the two positive integers then m² and n² are ____________
2)
If 3 is the least prime factor of number and 7 is least prime factor of b, then the least prime factor a + b is ____________
3)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
4)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
5)
Given a₁= -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________

10th Standard Maths English Medium - Numbers and Sequences 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
2)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
5)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Maths English Medium - Relations and Functions 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
\(\text { If } \mathbf{A}=\left\{x / x^{2}-4 x+3=0\right\}B=\left\{x / x^{2}-x-6=0\right\}, C=\left\{x / x^{3}-4 x=0\right\},\)
find i) A x B
ii) A x C
iii) (A - B) x C
2)
lf A and B be two non-empty sets, then show that A x B = B x A if A = B.
3)
In the given ordered pairs (4, 6), (8, 4), (3, 3),(9,11), (6, 3), (3, 0), (2,3). Find the following relations. AIso, find the domain and range.
(i) is two less than
(ii) is less than
(iii) is greater than
(iv) is equal to
4)
Let A = {2,3,4,5} and B = {8,9, 10, 11}. Let R be the relation "is factor of" from A and B.
i) Write R in the roster form. Also find Domain and Range of R.
ii) Draw an arrow diagram to represent the relation.
5)
Given f(x) = 3x + 7, g(x) = -x + 8, h (x) = x² + 3x - 1 Prove that Composition of functions, is associative.

10th Standard Maths English Medium - Relations and Functions 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
The distance S (in kms) travelled by a particle in time ‘t’ hours is given by S(t) = \(\frac { { t }^{ 2 }+t }{ 2 } \). Find the distance travelled by the particle after
(i) three and half hours.
(ii) eight hours and fifteen minutes.
2)
Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this
(i) an one-one function
(ii) an onto function,
(iii) both oneone and onto function?
3)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

find 2f(-4) + 3f(2)
4)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

f(-7) - f(-3)
5)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

\(\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) } \)

10th Standard Maths English Medium - Relations and Functions 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Let A = {x \(\in \) N| 1 < x < 4}, B = {x \(\in \) W| 0 ≤ x < 2) and C = {x \(\in \) N| x < 3} Then verify that
(i) A x (B U C) = (A x B) U (A x C)
(ii) A x (B ∩ C) = (A x B) ∩ (A x C)
2)
If B x A = {(-2,3), (-2,4),(0,3), (0,4),(3,3),(3,4)} find A and B.
3)
If A = {5,6}, B = {4,5,6}, C = {5,6,7}, Show that A x A = (B x B) ∩ (C x C)
4)
Let A = {x \(\in \) W| x < 2}, B = {x \(\in \) N| 1 < x ≤ 4} and C = (3,5). Verify that
A x (B U C) = (A x B) U (A x C)
5)
Let A = The set of all natural numbers less than 8, B = The set of all prime numbers less than 8, C = The set of even prime number. Verify that
(A ∩ B) x C = (A x C) ∩ (B x C)

10th Standard Maths English Medium - Relations and Functions 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
If A = {1,3,5} and B = {2,3} then
(i) find A x B and B x A
(ii) Is A x B = B x A? If not why?
(iii) Show that n(A x B) = n(B x A) = n(A) x n(B)
2)
If A x B = {(3,2), (3, 4), (5,2), (5, 4)} then find A and B.
3)
Let A = {1,2,3} and B = {x| x is a prime number less than 10}. Find A x B and B x A.
4)
Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁= {(3,7), (4,7), (7,10), (8,1)}
5)
The arrow diagram shows a relationship between the sets P and Q. Write the relation in
(i) Set builder form
(ii) Roster form
(iii) What is the domain and range of R.

10th Standard Maths English Medium - Relations and Functions 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
Find k, if f(k) = 2k - 1 and f o f(k) = 5.
2)
Let A = {1,2, 3, 4} and B = {-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let R = {(1, 3), (2, 6), (3, 10), (4, 9)} \(\subseteq \) A x B bea relation. Show that R is a function and find its domain, co-domain and the range of R.
3)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Let f: A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as a set of ordered pairs.
4)
State whether the graph represent a function. Use vertical line test.
5)
If the Set 'A' has 3 elements. and the Set B {3, 4, 5}, find the number of elements in (A x B).

10th Standard Maths English Medium - Relations and Functions 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
2)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
3)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
4)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
5)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________

10th Standard Maths English Medium - Relations and Functions 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - Oct 29, 2022 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
3)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
4)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
5)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is

10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Which of the following is not a measure of dispersion?
2)
The sum of all deviations of the data from its mean is
3)
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
4)
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
5)
If the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
2)
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
3)
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
4)
The total surface area of a hemi-sphere is how much times the square of its radius.
5)
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
2)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
3)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to
4)
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p²- q²is equal to
5)
The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
2)
The point of intersection of 3x − y = 4 and x + y = 8 is
3)
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is
4)
The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is
5)
A straight line has equation 8y = 4x + 21. Which of the following is true

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
3)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
4)
In a \(\triangle\)ABC, AD is the bisector \(\angle\)BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is
5)
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
3)
y² + \(\frac {1}{y^{2}}\) is not equal to
4)
Which of the following should be added to make x⁴ + 64 a perfect square
5)
Graph of a linear equation is a ____________

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
2)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
3)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
3)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
4)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
5)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is

10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The range of the data 8, 8, 8, 8, 8. . . 8 is
2)
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
3)
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
4)
If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is
5)
The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
2)
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
3)
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
4)
The total surface area of a hemi-sphere is how much times the square of its radius.
5)
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
3)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to
4)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
5)
If the ratio of the height of a tower and the length of its shadow is \(\sqrt{3}: 1\), then the angle of elevation of the sun has measure

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
The straight line given by the equation x = 11 is
3)
The point of intersection of 3x − y = 4 and x + y = 8 is
4)
The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is
5)
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
2)
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
3)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
4)
In the adjacent figure \(\angle BAC\) = 90^o and AD\(\bot \)BC then
5)
In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90^o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
3)
y² + \(\frac {1}{y^{2}}\) is not equal to
4)
The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to
5)
The solution of (2x - 1)² = 9 is equal to

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
2)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
3)
7^4k \(\equiv \) ________ (mod 100)
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
3)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
4)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
5)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 3 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
2)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
3)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 2 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Graphically an infinite number of solutions represents ___________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 1 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
If m and n are the two positive integers then m² and n² are ____________
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Three - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
2)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
3)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Graphically an infinite number of solutions represents ___________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Two - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
2)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
3)
In the arithemetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynimials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - One - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
2)
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________
3)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
4)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?
5)
The HCF of two polynomials p(x) and q(x) is 2x(x + 2) and LCM is 24x(x + 2)² (x - 2) if p(x) = 8x³+ 32x²+ 32x, then q(x) ___________

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 3 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 2 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
4)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is
5)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 1 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
A system of three linear equations in three variables is inconsistent if their planes

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Three - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
4)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?
5)
Which of the following should be added to make x⁴ + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Two - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - One - by Question Bank Software - Dec 04, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 10 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
2)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
3)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
Given a₁= -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 9 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
3)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?
4)
If 3 is the least prime factor of number and 7 is least prime factor of b, then the least prime factor a + b is ____________
5)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 8 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 7 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
3)
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 6 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
2)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
3)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 5 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________
3)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 4 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
Which of the following should be added to make x⁴ + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 3 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
4)
What is the HCF of the least prime and the least composite number?
5)
Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 2 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
3)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
A square is drawn by joinintg the mid points of the sides of a given square in the same way and this process continues indefinitely. If the side of the first square is 4 cm, then the sum of the area of all the squares is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 1 - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
7^4k \(\equiv \) ________ (mod 100)
4)
If a and b are the two positive intergs when a > b and b is a factor of a then HCF (a, b) is ____________
5)
Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Ten - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
3)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
5)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Nine - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
5)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Eight - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
5)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Seven - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
If the sequence t₁, t₂, t₃... are in A.P. then the sequence t₆, t₁₂, t₁₈,.... is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Six - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
3)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Five - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
4)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is
5)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Four - by Question Bank Software - Dec 04, 2020 - View & Read

1)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
2)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Three - by Question Bank Software - Dec 04, 2020 - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
3)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
4)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
5)
7^4k \(\equiv \) ________ (mod 100)

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Two - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
2)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
3)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
4)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
5)
The sum of the exponents of the prime factors in the prime factorization of 1729 is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - One - by Question Bank Software - Dec 04, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
5)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

10th Standard Maths English Medium Model Question Paper Part - V - by Question Bank Software - May 13, 2020 - View & Read

1)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
2)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
3)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is
4)
How many terms are there in the G.P : 5, 20, 80, 320,..., 20480
5)
Graph of a linear equation is a ____________

10th Standard Maths English Medium Model Question Paper Part - IV - by Question Bank Software - May 13, 2020 - View & Read

1)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
The sum of first n terms of the series a, 3a, 5a...is ____________
5)
Find the matrix X if 2X + \(\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right) \)

10th Standard Maths English Medium Model Question Paper Part - III - by Question Bank Software - May 13, 2020 - View & Read

1)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
If p^th, q^th and r^th terms of an A.P. are a, bc respestively, then (a(q - r) + b(r - p) + c(p - q) is____________
5)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is

10th Standard Maths English Medium Model Question Paper Part - II - by Question Bank Software - May 13, 2020 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is
4)
Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is ____________
5)
The number of points of intersection of the quadratic polynomial x² + 4x + 4 with the X axis is

10th Standard Maths English Medium Important 8 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0
2)
Graph the following quadratic equations and state their nature of solutions x² - 9x + 20 = 0.
3)
Draw the graph of y = x² - 4 and hence solve x² - x - 12 = 0
4)
Draw the graph of y = x² - 4 and hence solve x² + 1 = 0
5)
Draw the graph of y = 2x² - 3x - 5 and hence solve 2x² - 4x - 6 = 0

10th Standard Maths English Medium Creative Important 5 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

find 2f(-4) + 3f(2)
2)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

f(-7) - f(-3)
3)
f(x) = (1+ x)
g(x) = (2x - 1)
Show that fo(g(x)) = gof(x)
4)
A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(5),
5)
If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and

10th Standard Maths English Medium Book back Important 5 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
Let A = {x \(\in \) N| 1 < x < 4}, B = {x \(\in \) W| 0 ≤ x < 2) and C = {x \(\in \) N| x < 3} Then verify that
(i) A x (B U C) = (A x B) U (A x C)
(ii) A x (B ∩ C) = (A x B) ∩ (A x C)
2)
Given A = {1,2,3}, B = {2,3,5}, C = {3,4} and D = {1,3,5}, check if (A ∩ C) x (B ∩ D) = (A x B) ∩ (C x D) is true?
3)
Forensic scientists can determine the height (in cms) of a person based on the length of their thigh bone. They usually do so using the function h(b) = 2.47b + 54.10 where b is the length of the thigh bone.
(i) Check if the function h is one – one or not
(ii) Also find the height of a person if the length of his thigh bone is 50 cm.
(iii) Find the length of the thigh bone if the height of a person is 147.96 cm.
4)
If the function f: R⟶ R defined by
\(f(x)=\left\{\begin{array}{l} 2 x+7, x<-2 \\ x^{2}-2,-2 \leq x<3 \\ 3 x-2, x \geq 3 \end{array}\right.\)
(i) f( 4)
(ii) f( -2)
(iii) f(4) + 2f(1)
(iv) \(\frac { f(1)-3f(4) }{ f(-3) } \)
5)
Find the domain of the function f(x) = \(\sqrt { 1+\sqrt { 1-\sqrt { 1-x^{ 2 } } } } \).

10th Standard Maths English Medium Book back Important 2 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁= {(3,7), (4,7), (7,10), (8,1)}
2)
Let f{(x, y)| x, y \(\in \) N and y = 2x}. be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?
3)
Using horizontal line test (Fig.1.35(a), 1.35(b), 1.35(c)), determine which of the following functions are one – one.
4)
If f(x) = 3x - 2, g(x) = 2x + k and if f o g = f o f, then find the value of k..
5)
Find the value of k, such that f o g = g o f
f(x) = 3x + 2, g(x) = 6x - k

10th Standard Maths English Medium Creative Important 2 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
Let A = {1,2, 3, 4} and B = {-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let R = {(1, 3), (2, 6), (3, 10), (4, 9)} \(\subseteq \) A x B bea relation. Show that R is a function and find its domain, co-domain and the range of R.
2)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Let f: A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as a set of ordered pairs.
3)
State whether the graph represent a function. Use vertical line test.
4)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as a table .
5)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Let f : A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as an arrow .

10th Standard Maths English Medium Creative Important 1 Marks Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
2)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
3)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
4)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________
5)
If f(x) = 2 - 3x, then f o f(1 - x) = ?

10th Standard Maths English Medium Book back Important 1 Mark Questions - by Question Bank Software - May 09, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
3)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
4)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
5)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is

10th Standard Maths English Medium Model Question Paper - by Question Bank Software - May 09, 2020 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
3)
7^4k \(\equiv \) ________ (mod 100)
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
A system of three linear equations in three variables is inconsistent if their planes

10th Standard Maths English Medium Public Exam Model Question Paper - II July 2020 - by Question Bank Software - May 09, 2020 - View & Read

1)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
2)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
3)
7^4k \(\equiv \) ________ (mod 100)
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
If number of columns and rows are not equal in a matrix then it is said to be a

10th Standard Maths English Medium Public Exam Model Question Paper - II June 2020 - by Question Bank Software - May 09, 2020 - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
How many terms are there in the G.P : 5, 20, 80, 320,..., 20480
5)
Which of the following should be added to make x⁴ + 64 a perfect square

10th Standard Maths English Medium Public Exam Model Question Paper July 2020 - by Question Bank Software - May 09, 2020 - View & Read

1)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
5)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________

10th Standard Maths English Medium Public Exam Model Question Paper June 2020 - by Question Bank Software - May 09, 2020 - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________
5)
If f(x) = 2 - 3x, then f o f(1 - x) = ?

10th Standard Maths (English Medium) Important Questions Bookback and Creative - by 10th maths English Medium - New syllabus 2019 - May 08, 2020 - View & Read

10th Standard Maths (English Medium) Imporant Questions - by 10th maths English Medium - New syllabus 2019 - May 08, 2020 - View & Read

10th Standard Maths (English Medium) Model Question Paper - by 10th maths English Medium - New syllabus 2019 - May 08, 2020 - View & Read

10th standard Maths One Mark important Questions Book back and Creative - 2020 - by Question Bank Software - Mar 19, 2020 - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
3)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
4)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
5)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is

10th Standard Mathematics English Medium All Chapter Book Back and Creative One Marks Questions 2020 - by Question Bank Software - Mar 12, 2020 - View & Read

1)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
4)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
5)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

10th Standard Mathematics English Medium All Chapter Book Back and Creative Two Marks Questions 2020 - by Question Bank Software - Mar 12, 2020 - View & Read

1)
In electrical circuit theory, a circuit C(t) is called a linear circuit if it satisfies the superposition principle given by C(at₁+ bt₂) = aC(t₁) + bC(t₂) where a,b are constants. Show that the circuit C(t) = 3t is linear.
2)
Let A = {9, 10, 11, 12, 13, 14, 15, 16, 17} and let f: A ⟶ N be defined f(n) = the highest prime factor of n \(\in \) A. Write f as a set of ordered pairs and find the range of f.
3)
State whether the graph represent a function. Use vertical line test.
4)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as a table .
5)
Find the next three terms of the sequences.
1, 0.1, 0.01,...

10th Standard Mathematics English Medium All Chapter Book Back and Creative Five Marks Questions 2020 - by Question Bank Software - Mar 12, 2020 - View & Read

1)
Let f be a function f : N ⟶ N be defined by f(x) = 3x + 2, x \(\in \) N
(i) Find the images of 1, 2, 3
(ii) Find the pre-images of 29, 53
(iii) Identify the type of function
2)
A function f: [-5,9] ⟶ R is defined as follows:
\(f(x)=\left[\begin{array}{ll} 6 x+1 & \text { if }-5 \leq x<2 \\ 5 x^{2}-1 & \text { if } 2 \leq x<6 \\ 3 x-4 & \text { if } 6 \leq x \leq 9 \end{array}\right.\)
Find
i) f(-3) + f(2)
ii) f(7) - f(1)
iii) 2f(4) + f(8)
iv) \(\frac { 2f(-2)-f(6) }{ f(4)+f(-2) } \)
3)
A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(5),
4)
If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and
5)
Find the sum to n terms of the series
3 + 33 + 333 + ...to n terms

10th Standard Mathematics English Medium All Chapter Book Back and Creative Eight Marks Questions 2020 - by Question Bank Software - Mar 12, 2020 - View & Read

1)
Draw the graph of y = x² + x - 2 and hence solve x² + x - 2 = 0
2)
Graph the following quadratic equations and state their nature of solutions.
x² - 4x + 4 = 0
3)
Draw a triangle ABC of base BC = 5.6 cm, \(\angle\)A = 40^o and the bisector of \(\angle\)A meets BC at D such that CD = 4 cm.
4)
Draw a circle of radius 4 cm. At a point L on it draw a tangent to the circle using the alternate segment.

10th Standard Mathematics All Chapter Creative Questions-I-2019-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________
2)
Given a₁= -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________
3)
The square root of 4m²- 24m + 36 is ___________
4)
In figure \(\angle OAB={ 60 }^{ o }\) and OA = 6cm then radius of the circle is ____________
5)
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________

10th Standard Mathematics All Chapter Creative Questions-I-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
2)
Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?
3)
Choose the correct answer
(i) Every scalar matrix is an identity matrix
(ii) Every identity matrix is a scalar matrix
(iii) Every diagonal matrix is an identity matrix
(iv) Every null matrix is a scalar matrix
4)
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________
5)
Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

10th Standard Mathematics All Chapter Important Creative Questions-I- 2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
2)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
3)
The real roots of the quardractic equation x²-x-1 are ___________
4)
If the angle between two radio of a circle is ^o, the angle between the tangents at the end of the radii is ____________
5)
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________

10th Standard Mathematics All Chapter Important Creative Questions-I- 2019-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
2)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
3)
The parabola y = -3x² is ___________
4)
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
5)
If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________

10th Standard Mathematics All Chapter Creative Questions-II-2019-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________
2)
In the arithemetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________
3)
If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices
(i) A²
(ii) B²
(iii) AB
(iv) BA
4)
In the given figure if OC = 9 cm and OB = 15 cm then OB + BD is equal to ____________
5)
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________

10th Standard Mathematics All Chapter Creative Questions-II-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
2)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
3)
Graphically an infinite number of solutions represents ___________
4)
The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the traiangle is ____________
5)
In figure \(\angle OAB={ 60 }^{ o }\) and OA = 6cm then radius of the circle is ____________

10th Standard Mathematic All Chapter Important Creative Questions-II- 2019-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
2)
If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________
3)
Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynimials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM
4)
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
5)
Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

10th Standard Mathematics All Chapter Important Creative Questions-II-2020 - by Question Bank Software - Feb 07, 2020 - View & Read

1)
If f(x) = 2 - 3x, then f o f(1 - x) = ?
2)
How many terms are there in the G.P : 5, 20, 80, 320,..., 20480
3)
Which of the following are linear equation in three variables ___________
4)
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
5)
The ratio of the areas of two similar triangles is equal to ____________

10th Standard Mathematics Creative Test Model - by Question Bank Software - Feb 07, 2020 - View & Read

1)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
2)
Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is ____________
3)
If \(2A+3B=\left[ \begin{matrix} 2 & -1 & 4 \\ 3 & 2 & 5 \end{matrix} \right] \) and \(A+2B=\left[ \begin{matrix} 5 & 0 & 3 \\ 1 & 6 & 2 \end{matrix} \right] \) then B = [hint: B = (A+2B)-(2+3B)]
4)
The ratio of the areas of two similar triangles is equal to ____________
5)
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________

10th Standard Mathematics Book Back and Important Questions-II-2019-2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
4)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
5)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________

10th Standard Mathematics Book Back and Important Questions-I-2019-2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
2)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________
5)
If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________

10th Standard Mathematics Book back and Creative Important Questions-II- 2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
5)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________

10th Standard Mathematics Book back and Creative Important Questions-I- 2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
2)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
3)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
5)
If f(x) = 2 - 3x, then f o f(1 - x) = ?

10th Standard Mathematics Questions -II- 2019-2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
4)
If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________
5)
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________

10th Standard Mathematics Questions -I- 2019-2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
5)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________

10th Standard Mathematics Important Question All Chapter Questions -II- 2019-2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
5)
If f(x) = 2 - 3x, then f o f(1 - x) = ?

10th Standard Mathematics Important Question All Chapter-I- 2020 - by Question Bank Software - Feb 06, 2020 - View & Read

1)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
5)
If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________

10th Standard Maths Important Questions - by Question Bank Software - Feb 04, 2020 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
5)
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________

10th Maths - Full Portion Eight Marks Question Paper - by 8682895000 - Jan 20, 2020 - View & Read

1)
Let A = {1, 2} and B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}, Verify whether A x C is a subset of B x D?
2)
A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(2) - f( 4).
3)
Show that 107 is of the form 4q +3 for any integer q.
4)
Discuss the nature of solutions of the following quadratic equations.
x² + 2x + 5 = 0
5)
Graph the following quadratic equations and state their nature of solutions.
x² - 9 = 0

10th Maths - Full Portion Five Marks Question Paper - by 8682895000 - Jan 20, 2020 - View & Read

1)
Represent each of the given relations by (a) an arrow diagram, (b) a graph and (c) a set in roster form, wherever possible.
(i) {(x, y)|x = 2y, x \(\in \) {2, 3, 4, 5}, y \(\in \) {1, 2, 3, 4}
(ii) {(x, y)|y = x + 3, x, y are natural numbers < 10}
2)
An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown Fig. Express the volume V of the box as a function of x.
3)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

f(-7) - f(-3)
4)
A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

\(\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) } \)
5)
Let A = {1, 2, 3, 4, 5}, B = N and f: A \(\rightarrow\)B be defined by f(x) = x². Find the range of f. Identify the type of function.

10th Maths - Full Portion Two Marks Question Paper - by 8682895000 - Jan 20, 2020 - View & Read

1)
If A x B = {(3,2), (3, 4), (5,2), (5, 4)} then find A and B.
2)
The arrow diagram shows a relationship between the sets P and Q. Write the relation in
(i) Set builder form
(ii) Roster form
(iii) What is the domain and range of R.
3)
A plane is flying at a speed of 500 km per hour. Express the distanced travelled by the plane as function of time t in hours.
4)
If f(x) = 3x - 2, g(x) = 2x + k and if f o g = f o f, then find the value of k..
5)
State whether the graph represent a function. Use vertical line test.

10th Maths - Revision Model Question Paper 2 - by Question Bank Software - Jan 17, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
3)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?
4)
For the given matrix A = \(\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right) \) the order of the matrix A^T is
5)
The two tangents from an external points P to a circle with centre at O are PA and PB. If \(\angle APB\) = 70^o then the value of \(\angle AOB\) is

10th Maths - Public Exam Model Question Paper 2019 - 2020 - by Question Bank Software - Jan 17, 2020 - View & Read

1)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is
4)
For the given matrix A = \(\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right) \) the order of the matrix A^T is
5)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

10th Maths - Statistics and Probability Model Question Paper - by Question Bank Software - Dec 06, 2019 - View & Read

1)
If are event occurs surely, then its probability is ___________
2)
Two dice are through simultaneously the probability if getting a double is ___________
3)
The standard deviation is the ____ of variance
4)
The mean of a observation x₁, x₂, x₃, ......... x_n is \(\bar { x } \). If each observation is multiplied by p, there the mean of the new observations is ___________
5)
If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value.

10th Maths - Mensuration Model Question Paper - by Question Bank Software - Dec 06, 2019 - View & Read

1)
The radio of base of a one 5 cm and to height 12 cm. The slant height of the cone ___________
2)
A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?
3)
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?
4)
The volume of a frustum if a cone of height L and ends-radio and r₁and r₂ is ___________
5)
The ratio of the volumes of two cones is 2 : 3. Find the ratio of their radii if the height of second cone is double the height of the first.

10th Maths - Trigonometry Model Question Paper - by Question Bank Software - Dec 06, 2019 - View & Read

1)
If sin θ - cos θ = 0, then the value of (sin⁴θ + cos⁴θ) is ___________
2)
The value of sin²θ + \(\frac { 1 }{ 1+{ tan }^{ 2 }\theta } \) of ___________
3)
(cosec²θ - cot²θ) (1 - cos²θ) is equal to ___________
4)
9 sec²A - 9tan²A = ___________
5)
\(1+\frac { { cot }^{ 2 }\alpha }{ 1+cosex\alpha } =cosec\alpha\)

10th Maths - Coordinate Geometry Model Question Paper - by Question Bank Software - Dec 06, 2019 - View & Read

1)
The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is
2)
A straight line has equation 8y = 4x + 21. Which of the following is true
3)
When proving that a quadrilateral is a parallelogram by using slopes you must find
4)
(2, 1) is the point of intersection of two lines.
5)
In each of the following, Find the value of ‘a’ for which the given points are collinear. (2, 3), (4, a) and (6, –3)

10th Maths - Geometry Important Questions - by Question Bank Software - Nov 29, 2019 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
3)
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
4)
In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is
5)
Is \(\triangle\)ABC ~ \(\triangle\)PQR?

10th Maths - Algebra Model Questions - by Question Bank Software - Nov 29, 2019 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
3)
The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to
4)
If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in __________.
5)
Solve \(\frac { x }{ 2 } -1=\frac { y }{ 6 } +1=\frac { z }{ 7 } +2\); \(\frac { y }{ 3 } +\frac { z }{ 2 } =13\)

10th Maths - Numbers and Sequences Model Questions - by Question Bank Software - Nov 29, 2019 - View & Read

1)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
2)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is
3)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
4)
If the sequence t₁, t₂, t₃... are in A.P. then the sequence t₆, t₁₂, t₁₈,.... is
5)
Find the HCF of 396, 504, 636.

10th Maths - Relations and Functions Model Question Paper - by Question Bank Software - Nov 29, 2019 - View & Read

1)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
4)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
5)
Let X = {1, 2, 3, 4} and Y = {2, 4, 6, 8,10} and R = {(1, 2),(2, 4),(3, 6),(4, 8)} Show that R is a function and find its domain, co-domain and range?

10th Maths - Half Yearly Model Question Paper 2019 - by Question Bank Software - Nov 13, 2019 - View & Read

1)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
2)
If the sequence t₁, t₂, t₃... are in A.P. then the sequence t₆, t₁₂, t₁₈,.... is
3)
Which of the following should be added to make x⁴ + 64 a perfect square
4)
In figure CP and CQ are tangents to a circle with centre at O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is
5)
A straight line has equation 8y = 4x + 21. Which of the following is true

10th Standard Maths - Term II Model Question Paper - by Selvamary - Erode - Oct 29, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
A system of three linear equations in three variables is inconsistent if their planes
5)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is

10th Standard Maths - Statistics and Probability Model Question Paper - by Selvamary - Erode - Oct 12, 2019 - View & Read

1)
Which of the following is not a measure of dispersion?
2)
If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is
3)
The probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\) then the value of x is
4)
A purse contains 10 notes of Rs. 2000, 15 notes of Rs. 500, and 25 notes of Rs. 200. One note is drawn at random. What is the probability that the note is either a Rs. 500 note or Rs. 200 note?
5)
A girl calculates the probability of her winning in a match is 0.08 what is the probability of her losing the game ___________

10th Maths - Mensuration Model Question Paper - by Selvamary - Erode - Oct 12, 2019 - View & Read

1)
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
2)
If the radius of the base of a cone is tripled and the height is doubled then the volume is
3)
A shuttle cock used for playing badminton has the shape of the combination of
4)
The volume (in cm³) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
5)
The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

10th Maths - Coordinate Geometry Five Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
The line r passes through the points (–2, 2) and (5, 8) and the line s passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to s ?
2)
The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?
3)
Show that the straight lines 2x + 3y - 8 = 0 and 4x + 6y + 18 = 0 are parallel.
4)
Show that the straight lines x - 2y + 3 = 0 and 6x + 3y + 8 = 0 are perpendicular.
5)
A(1, -2), B(6, -2), C(5, 1) and D(2, 1) be four points What can you deduce from your answer.

10th Maths - Trigonometry Five Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
If sin (A - B) = \(\frac12\), cos (A + B) = \(\frac12\), 0^o < A + ≤ 90°, A > B, find A and B.
2)
Express the ratios cos A, tan A and see A in terms of sin A.
3)
If sin 3A = cos (A - 26°), where 3A is an acute angle, find the value at A.
4)
If ATB=90^o then prove that
\(\sqrt { \frac { tanA\quad tanB+tanA\quad cotB }{ sinA\quad secB } } -\frac { { Sin }^{ 2 }A }{ { Cos }^{ 2 }A } =tanA\)
5)
P.T (1+tan∝tan∝tanβ)²+(tan∝-tanβ)²=sec²∝sec²β.

10th Standard Maths - Statistics and Probability Five Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
The mean of a data is 25.6 and its coefficient of variation is 18.75. Find the standard deviation.
2)
The consumption of number of guava and orange on a particular week by a family are given below.

Number of Guavas 3 5 6 4 3 5 4

Number of Oranges 1 3 7 9 2 6 2

Which fruit is consistently consumed by the family?
3)
If P(A) = 0.37, P(B).= 0.42, P(A∩B) = 0.09 then find P(AUB).
4)
What is the probability of drawing either a king or a queen in a single draw from a well shuffled pack of 52 cards?
5)
A card is drawn from a pack of 52 cards. Find the probability of getting a king or a heart or a red card.

10th Standard Maths - Mensuration Five Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Find the volume of a cylinder whose height is 2 m and whose base area is 250 m².
2)
The volume of a cylindrical water tank is 1.078 x 10⁶ litres. If the diameter of the tank is 7m, find its height.
3)
The volume of a solid right circular cone is 11088 cm³. If its height is 24 cm then find the radius of the cone.
4)
The volume of a solid hemisphere is 29106 cm³. Another hemisphere whose volume is two-third of the above is carved out. Find the radius of the new hemisphere.
5)
Calculate the mass of a hollow brass sphere if the inner diameter is 14 cm and thickness is 1mm, and whose density is 17.3 g/ cm³.

10th Standard Maths - Geometry Five Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
D and E are respectively the points on the sides AB and AC of a \(\triangle\)ABC such that AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm and AE = 1.8 cm, show that DE || BC
2)
In the figure DE||AC and DC||AP. Prove that \(\frac { BE }{ CE } =\frac { BC }{ CP } \)
3)
Construct a triangle \(\triangle\)PQR such that QR = 5 cm, \(\angle\)P = 30^o and the altitude from P to QR is of length 4.2 cm.
4)
Draw a triangle ABC of base BC = 8 cm, \(\angle\)A = 60^o and the bisector of \(\angle\)A meets BC at D such that BD = 6 cm.
5)
In Fig, ABC is a triangle with \(\angle\)B=90^o, BC=3cm and AB=4 cm. D is point on AC such that AD=1 cm and E is the midpoint of AB. Join D and E and extend DE to meet CB at F. Find BF.

10th Standard Maths - Trigonometry Model Question Paper - by Selvamary - Erode - Oct 04, 2019 - View & Read

1)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
2)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
3)
If the ratio of the height of a tower and the length of its shadow is \(\sqrt{3}: 1\), then the angle of elevation of the sun has measure
4)
The angle of elevation of a cloud from a point h metres above a lake is \(\beta \). The angle of depression of its reflection in the lake is 45°. The height of location of the cloud from the lake is
5)
The value of the expression [cosec (75^o+ θ) - sec (15^o- θ) - tan (55^o+ θ) + cot(35^o- θ] is ___________

10th Standard Maths - Coordinate Geometry Model Question Paper - by Selvamary - Erode - Oct 04, 2019 - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
The slope of the line joining (12, 3), (4, a) is \(\frac 18\). The value of ‘a’ is
3)
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is
4)
A straight line has equation 8y = 4x + 21. Which of the following is true
5)
(2, 1) is the point of intersection of two lines.

10th Science - Relations and Functions Five Marks Questions - by Question Bank Software - Oct 03, 2019 - View & Read

1)
The arrow diagram shows a relationship between the sets P and Q. Write the relation in
(i) Set builder form
(ii) Roster form
(iii) What is the domain and range of R.
2)
Let A = {1,2,3}, B = {4, 5, 6,7}, and f = {(1, 4),(2, 5),(3, 6)} be a function from A to B. Show that f is one – one but not onto function.
3)
If A = {-2, -1, 0, 1, 2} and f: A ⟶ B is an onto function defined by f(x) = x²+ x + 1 then find B.
4)
If the function f: R⟶ R defined by
\(f(x)=\left\{\begin{array}{l} 2 x+7, x<-2 \\ x^{2}-2,-2 \leq x<3 \\ 3 x-2, x \geq 3 \end{array}\right.\)
(i) f( 4)
(ii) f( -2)
(iii) f(4) + 2f(1)
(iv) \(\frac { f(1)-3f(4) }{ f(-3) } \)
5)
Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this
(i) an one-one function
(ii) an onto function,
(iii) both oneone and onto function?

10th Science - Numbers and Sequences Five Marks Questions - by Question Bank Software - Oct 03, 2019 - View & Read

1)
How many terms of the series 1 + 5 + 9 + ....must be taken so that their sum is 190?
2)
The 13^th term of an A.P is 3 and the sum of the first 13 terms is 234.Find the common difference and the sum of first 21 terms.
3)
Find the sum of all natural numbers between 300 and 600 which are divisible by 7.
4)
Which of the following list of numbers form an AP? If they form an AP, write the next two terms:
4,10,16, 22, ...
5)
Which of the following list of numbers form an AP? If they form an AP, write the next two terms:
1,-1,-3, -5, ...

10th Maths - Algebra Five Marks Questions - by Question Bank Software - Oct 03, 2019 - View & Read

1)
Find the square root of the following expressions
256(x - a)⁸ (x - b)⁴ (x - c)¹⁶ (x - d)²⁰
2)
Find the zeroes of the quadratic expression x² + 8x + 12
3)
Write down the quadratic equation in general form for which sum and product of the roots are given below.
9, 14
4)
Solve x² - 3x - 2 = 0
5)
Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0

10th Standard Maths - Geometry Model Question Paper - by Selvamary - Erode - Sep 30, 2019 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
3)
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
4)
How many tangents can be drawn to the circle from an exterior point?
5)
In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

10th Standard Maths - Algebra Model Question Paper - by Selvamary - Erode - Sep 30, 2019 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is
3)
Which of the following should be added to make x⁴ + 64 a perfect square
4)
Graph of a linear equation is a ____________
5)
Transpose of a column matrix is

10th Standard Maths - Numbers and Sequences Model Question Paper - by Selvamary - Erode - Sep 25, 2019 - View & Read

1)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
2)
7^4k \(\equiv \) ________ (mod 100)
3)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is

10th Standard Maths - Relations and Functions Model Question Paper - by Selvamary - Erode - Sep 25, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
3)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
4)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
5)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is

10th Maths Unit 1 Relations and Functions Model Question Paper - by Question Bank Software - Sep 24, 2019 - View & Read

10th Maths - Statistics and Probability Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
The number of televisions sold in each day of a week are 13, 8, 4, 9, 7, 12, 10. Find its standard deviation.
2)
Find the mean and variance of the first n natural numbers.
3)
48 students were asked to write the total number of hours per week they spent on watching television. With this information find the standard deviation of hours spent for watching television.

x 6 7 8 9 10 11 12

f 3 6 9 13 8 5 4
4)
Marks of the students in a particular subject of a class are given below:

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70

Number of students 8 12 17 14 9 7 4

Find its standard deviation.
5)
Two coins are tossed together. What is the probability of getting different faces on the coins?

10th Maths - Mensuration Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
The curved surface area of a right circular cylinder of height 14 cm is 88 cm² . Find the diameter of the cylinder.
2)
A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?
3)
If the total surface area of a cone of radius 7cm is 704 cm², then find its slant height.
4)
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and base is hollowed out. Find the total surface area of the remaining solid.
5)
The radius of a spherical balloon increases from 12 cm to 16 cm as air being pumped into it. Find the ratio of the surface area of the balloons in the two cases.

10th Maths - Trigonometry Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
prove that\(\left( \frac { co{ s }^{ 3 }A-si{ n }^{ 3 }A }{ cosA-sinA } \right) -\left( \frac { co{ s }^{ 3 }A+si{ n }^{ 3 }A }{ cosA+sinA } \right) =2sinAcosA\)
2)
prove that \(\frac { sinA }{ secA+tanA-1 } +\frac { cosA }{ cosecA+cotA-1 } =1\)
3)
As observed from the top of a 60 m high light house from the sea level, the angles of depression of two ships are 28° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. (tan28° = 0.5317)
4)
A man is watching a boat speeding away from the top of a tower. The boat makes an angle of depression of 60° with the man’s eye when at a distance of 200 m from the tower. After 10 seconds, the angle of depression becomes 45°. What is the approximate speed of the boat (in km / hr), assuming that it is sailing in still water ?(\(\sqrt { 3 } \) = 1.732)
5)
If tan A=\(\frac{3}{4}\), then sin A cos A=\(\frac{12}{15}\)

10th Maths - Coordinate Geometry Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
Show that the points P(-1, 5, 3), Q(6, -2) , R(-3, 4) are collinear.
2)
If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.
3)
Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).
4)
The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?
5)
Calculate the slope and y intercept of the straight line 8x − 7y + 6 = 0

10th Maths - Term 1 Model Question Paper - by Selvamary - Erode - Sep 20, 2019 - View & Read

1)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
2)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
3)
Graph of a linear equation is a ____________
4)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
5)
The point of intersection of 3x − y = 4 and x + y = 8 is

10th Maths - Geometry Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
Is \(\triangle\)ABC ~ \(\triangle\)PQR?
2)
A boy of height 90cm is walking away from the base of a lamp post at a speed of 1.2m/sec. If the lamppost is 3.6m above the ground, find the length of his shadow cast after 4 seconds.
3)
\(\angle A=\angle CED\) prove that \(\Delta\ CAB \sim \Delta CED\) Also find the value of x.
4)
If \(\triangle\)ABC is similar to\(\triangle\)DEF such that BC = 3 cm, EF = 4 cm and area of \(\triangle\)ABC = 54 cm². Find the area of \(\triangle\)DEF.
5)
An insect 8 m away initially from the foot of a lamp post which is 6 m tall, crawls towards it moving through a distance. If its distance from the top of the lamp post is equal to the distance it has moved, how far is the insect away from the foot of the lamp post?

10th Science - Algebra Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
The father’s age is six times his son’s age. Six years hence the age of father will be four times his son’s age. Find the present ages (in years) of the son and father.
2)
Find \(\frac { { x }^{ 2 }+20x+36 }{ { x }^{ 2 }-3x-28 } -\frac { { x }^{ 2 }+12x+4 }{ { x }^{ 2 }-3x-28 } \)
3)
Find the square root of 64x⁴ - 16x³ + 17x² - 2x + 1
4)
If 9x⁴ + 12x³ + 28x² + ax + b is a perfect square, find the values of a and b.
5)
Solve 2m²+ 19m + 30 = 0

10th Maths Unit 2 Numbers and Sequences Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?
2)
Find the remainders when 70004 and 778 is divided by 7
3)
Find the number of integer solutions of 3x \(\equiv \) 1 (mod 15).
4)
Write an A.P. whose first term is 20 and common difference is 8.
5)
Find the number of terms in the A.P. 3, 6, 9, 12,…, 111.

10th Maths Chapter 1 Relations and Functions Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
If A x B = {(3,2), (3, 4), (5,2), (5, 4)} then find A and B.
2)
Let A = {x \(\in \) N| 1 < x < 4}, B = {x \(\in \) W| 0 ≤ x < 2) and C = {x \(\in \) N| x < 3} Then verify that
(i) A x (B U C) = (A x B) U (A x C)
(ii) A x (B ∩ C) = (A x B) ∩ (A x C)
3)
Let X = {1, 2, 3, 4} and Y = {2, 4, 6, 8,10} and R = {(1, 2),(2, 4),(3, 6),(4, 8)} Show that R is a function and find its domain, co-domain and range?
4)
A relation ‘f’ \(X \rightarrow Y\) is defined by f(x) = x²- 2 where x \(\in \) {-2, -1, 0, 3} and Y = R
(i) List the elements of f
(ii) Is f a function?
5)
If f(x) = 3x - 2, g(x) = 2x + k and if f o g = f o f, then find the value of k..

10th Maths - Term 1 Five Mark Model Question Paper - by Question Bank Software - Sep 16, 2019 - View & Read

1)
Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁= {(3,7), (4,7), (7,10), (8,1)}
2)
Let A = {1,2,3,4} and B = { 2, 5, 8, 11,14} be two sets. Let f: A ⟶ B be a function given by f(x) = 3x − 1. Represent this function
(i) by arrow diagram
(ii) in a table form
(iii) as a set of ordered pairs
(iv) in a graphical form
3)
The general term of a sequence is defined as
a_n = \(\begin{cases} n\left( n+3 \right) ;n\in N\quad is\quad odd \\ { n }^{ 2 }+1;n\in N\quad is\quad even \end{cases}\)
Find the eleventh and eighteenth terms.
4)
In an A.P. the sum of first n terms is \(\frac { { 5n }^{ 2 } }{ 2 } +\frac { 3n }{ 2 } \). Find the 17^th term
5)
Find the GCD of 6x³ - 30x² + 60x - 48 and 3x³ - 12x² + 21x - 18.

10th Maths Quarterly Model Questions Paper - by Question Bank Software - Sep 14, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
3)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
4)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
5)
The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is

10th Standard Maths Unit 8 Statistics and Probability Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
Which of the following is not a measure of dispersion?
2)
The range of the data 8, 8, 8, 8, 8. . . 8 is
3)
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
4)
The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is
5)
A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is

10th Standard Maths Unit 7 Mensuration Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is
2)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
3)
The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be
4)
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is
5)
A shuttle cock used for playing badminton has the shape of the combination of

10th Standard Maths Unit 6 Trigonometry Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
3)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
4)
The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to
5)
A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to

10th Standard Maths Unit 5 Coordinate Geometry Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
3)
The straight line given by the equation x = 11 is
4)
If slope of the line PQ is \(\frac { 1 }{ \sqrt { 3 } } \) then slope of the perpendicular bisector of PQ is
5)
The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is

10th Standard Maths Unit 4 Geometry Book Back Questions - by Question Bank Software - Sep 03, 2019 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
3)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
4)
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
5)
The two tangents from an external points P to a circle with centre at O are PA and PB. If \(\angle APB\) = 70^o then the value of \(\angle AOB\) is

10th Standard Maths - Numbers and Sequences Book Back Questions - by Question Bank Software - Sep 02, 2019 - View & Read

1)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
2)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is

10th Standard Maths - Algebra Book Back Questions - by Question Bank Software - Sep 02, 2019 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
3)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
4)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
5)
The solution of (2x - 1)² = 9 is equal to

10th Maths Unit 1 Relations and Functions Book Back Questions - by Question Bank Software - Aug 30, 2019 - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
4)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
5)
Represent the function f(x) =\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th Standard Maths Chapter 1 Relations and Functions One Mark Question with Answer Key - by Question Bank Software - Aug 29, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
3)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
4)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
5)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is

10th Standard Maths Unit 8 Statistics and Probability One Mark Question and Answer - by Question Bank Software - Aug 29, 2019 - View & Read

1)
Which of the following is not a measure of dispersion?
2)
The range of the data 8, 8, 8, 8, 8. . . 8 is
3)
The sum of all deviations of the data from its mean is
4)
A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4
5)
which of the following is true?

10th Maths - Mensuration One Mark Question with Answer - by Question Bank Software - Aug 28, 2019 - View & Read

1)
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is
2)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
3)
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
4)
If the radius of the base of a cone is tripled and the height is doubled then the volume is
5)
The total surface area of a hemi-sphere is how much times the square of its radius.

10th Maths Chapter 6 Trigonometry - One Mark Question with Answer Key - by Question Bank Software - Aug 27, 2019 - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
3)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
4)
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p²- q²is equal to
5)
If sin A = \(\frac{1}{2}\), then the value of cot A is ___________

10th Maths Unit 5 Coordinate Geometry One Mark Question and Answer - by Question Bank Software - Aug 27, 2019 - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
3)
The straight line given by the equation x = 11 is
4)
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
5)
The point of intersection of 3x − y = 4 and x + y = 8 is

10th Maths - Geometry One Mark Question with Answer - by Question Bank Software - Aug 27, 2019 - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
3)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
4)
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
5)
The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

10th Maths Unit 3 Algebra - One Mark Question Paper with Answer Key - by Question Bank Software - Aug 26, 2019 - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
3)
y² + \(\frac {1}{y^{2}}\) is not equal to
4)
The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to
5)
The solution of (2x - 1)² = 9 is equal to

10th Maths Unit 2 Numbers and Sequences One Mark Questions With Answer - by Question Bank Software - Aug 24, 2019 - View & Read

1)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
2)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
5)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Maths Model Question Paper 2019 - 2020 - by Question Bank Software - Aug 12, 2019 - View & Read

1. RELATIONS AND FUNCTIONS - by 9444441210 - Jul 31, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
3)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
4)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
5)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is

frequently asked five mark questions in maths chapter one for state board english mesium - by Karthik - Jun 28, 2019 - View & Read

1)
Let A = {1,2,3,4} and B = { 2, 5, 8, 11,14} be two sets. Let f: A ⟶ B be a function given by f(x) = 3x − 1. Represent this function
(i) by arrow diagram
(ii) in a table form
(iii) as a set of ordered pairs
(iv) in a graphical form
2)
Using horizontal line test (Fig.1.35(a), 1.35(b), 1.35(c)), determine which of the following functions are one – one.
3)
Let A = {1,2,3}, B = {4, 5, 6,7}, and f = {(1, 4),(2, 5),(3, 6)} be a function from A to B. Show that f is one – one but not onto function.
4)
If A = {-2, -1, 0, 1, 2} and f: A ⟶ B is an onto function defined by f(x) = x²+ x + 1 then find B.
5)
Let f be a function f : N ⟶ N be defined by f(x) = 3x + 2, x \(\in \) N
(i) Find the images of 1, 2, 3
(ii) Find the pre-images of 29, 53
(iii) Identify the type of function

Maths chapter one important questions for state board english medium - by Karthik - Jun 28, 2019 - View & Read

1)
A relation ‘f’ \(X \rightarrow Y\) is defined by f(x) = x²- 2 where x \(\in \) {-2, -1, 0, 3} and Y = R
(i) List the elements of f
(ii) Is f a function?
2)
If X = {–5, 1, 3, 4} and Y = {a, b, c}, then which of the following relations are functions from X to Y ?
R₁= {(–5, a), (1, a), (3, b)}
3)
Given f(x) = 2x - x², find
(i) f (1)
(ii) f (x + 1)
(iii) f (x) + f (1)
4)
Find f o g and g o f when f(x) = 2x + 1 and g(x) = x²- 2
5)
Represent the function f(x) =\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th standard new syllabus creative multiple choice questions in chapter one maths - by Karthik - Jun 28, 2019 - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A U C) x B] is
3)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
4)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
5)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is

S.No	Vertices	Area (sq.units)
(i)	(0, 0), (p, 8), (6, 2)	20
(ii)	(p, p), (5, 6), (5, -2)	32

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Number of students	8	12	17	14	9	7	4

Number of Guavas	3	5	6	4	3	5	4
Number of Oranges	1	3	7	9	2	6	2

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