### 11th Standard CBSE Mathematics Study material & Free Online Practice Tests - View and download Sample Question Papers with Solutions for Class 11 Session 2019 - 2020 CBSE

#### 11th Standard CBSE Mathematics Sequences and Series Model Question Paper - by Rupa Das - Bhubaneswar Aug 13, 2019 - View & Download

• 1)

If the first term of an AP. is 5 and common difference is - 3 then sum of its 60 terms is equal to

• 2)

The three geometric means between the numbers 1 and 81 are

• 3)

If the sum of first n even natural numbers is equal to m times the sum of first n is odd natural numbers then m is equal to

• 4)

The seen to infinity of the series $1+2.\frac{1}{2}+3.\frac{1}{2^2}+4.\frac{1}{2^3}+...+\infty$

• 5)

The sum of infinity of the G.P. a, ar, ar2, ar3, ...... $\infty$ is

#### 11th CBSE Mathematics Binomial Theorem Model Question Paper - by Rupa Das - Bhubaneswar Aug 05, 2019 - View & Download

• 1)

If in the expansion of (a + b)n and (a + b)n + 3, the ratio of the coefficients of second and third terms and third and fourth terms respectively are equal then n is

• 2)

If in the expansion of (1 +x)n, the coefficients of fifth, sixth and seventh terms are inA.P. then n is equal to

• 3)

The middle term in the expansion of
$\left( \frac { { 2x }^{ 2 } }{ 3 } +\frac { 3 }{ { 2x }^{ 2 } } \right) ^{ 10 }$is

• 4)

The coefficient of x5y8 in the expansion of (x + y)13 is

• 5)

Constant term in the expansion of $\left( x-\frac { 1 }{ x } \right) ^{ 14 }$

#### 11th Standard CBSE Mathematics Unit 7 Permutation and Combination Model Question Paper - by Rupa Das - Bhubaneswar Aug 03, 2019 - View & Download

• 1)

Total number of words formed by 3 vowels and 5 consonants taken from 4 vowels and 7 consonants is equal to

• 2)

If mC2 = nC1 then

• 3)

6C1 + 6C2+6C3+6C4+6C5+6C6 is equal to

• 4)

If C0 + C1 + C2 +...+Cn = 256 then 2nC2 is equal to

• 5)

If n+1C3 = 2.nC2 then n is equal to

#### 11th CBSE Mathematics Unit 6 Linear Inequalities Model Question Paper - by Rupa Das - Bhubaneswar Jul 31, 2019 - View & Download

• 1)

Solve 3x + 8> 2, when x is an integer.

• 2)

Solve $|x-1|\le 2$.

• 3)

In the first four papers each of 100 marks, Rahul got 95, 72, 73 and 83 marks. If he wants an average of greater than 75 marks and less than 80 marks. Find the range of marks he should score in the fifth paper.

• 4)

Anushu obtained 73, 67, 72 marks in the Mathematics test. How many should he get in his fourth test, so as to have an average of at least 75?

• 5)

Solve 3x + 8 > 2 when (i) x is integer (ii) x is a real number

#### 11th CBSE Mathematics Unit 5 Complex Numbers and Quadratic Equations Important Question Paper - by Rupa Das - Bhubaneswar Jul 30, 2019 - View & Download

• 1)

Find the conjugate of the complex number $\frac { 1-i }{ 1+i }$

• 2)

Find the conjugate and modulus of the complex number $\frac { 2+3i }{ 3+2i }$

• 3)

Simplify the following
(2i)3

• 4)

Simplify the following i4+i8+i12+i16

• 5)

Find the multiplicative inverse of the following complex number $(2+\sqrt { 3 } i)^{ 2 }$

#### 11th CBSE Mathematics Unit 4 Principle of Mathematical Induction Important Question Paper - by Rupa Das - Bhubaneswar Jul 27, 2019 - View & Download

• 1)

Prove that the sum of first n even numbers is n(n+q).

• 2)

Prove that 2+6+18+.....2.3n-1 = (3n - 1) for all $n\in N$.

• 3)

Prove that 22n -1 is divisible by 3, for all natural numbers n.

• 4)

Prove that $\sum _{ t=1 }^{ n-1 }{ t(t+1) } =\frac { n(n-1)(n+1) }{ 3 }$ , for all natural numbers $n\ge 2$

• 5)

Prove that 2n>n for all positive integers n.

#### 11th Standard CBSE Mathematics Unit 3 Trigonometric Functions Important Question Paper - by Rupa Das - Bhubaneswar Jul 26, 2019 - View & Download

• 1)

In a ∆ABC, if ∠A = 45o, ∠B = 60o and ∠C = 75o, then the ratio of sides is

• 2)

In a ΔABC if a = 5, b = 6 and c = 5, then ∠B is

• 3)

sin6$\theta$ + cos6$\theta$ + 3 sin2$\theta$ cos2$\theta$ is equal to

• 4)

If tan$\theta$ + cot $\theta$ = 5 then tan3 $\theta$ + cot3 $\theta$ is equal to

• 5)

If tan $\theta$ + sec $\theta$ = ex then cos$\theta$ is equal to

#### 11th CBSE Mathematics Unit 2 Relations and Functions Important Question Paper - by Rupa Das - Bhubaneswar Jul 25, 2019 - View & Download

• 1)

If the set A has m elements, B has n elements then the number of elements in A x B is

• 2)

Let R be a relation from a set A to B, then

• 3)

If R is a relation from a finite set A having m elements to a finite set B having n elemen.ts, then the number of relations from A to B is

• 4)

Which one of the following is not a function

• 5)

Let f(x) = Ix-1I then

#### 11th Standard CBSE Mathematics Unit 1 Sets Important Question Paper - by Rupa Das - Bhubaneswar Jul 24, 2019 - View & Download

• 1)

The number of subsets of a set containing n elements is

• 2)

For any two sets A and B, $A\cap(A\cup B)=$_____.

• 3)

If $A\cap B=B$ then

• 4)

For any two sets A and B, (A - B) $\cup$ (B - A)=_____.

• 5)

For any two sets A and B, A $\cup$ B = A iff

#### 11th Standard CBSE Mathematics Important Questions - by Bala Dec 31, 2018 - View & Download

• 1)

For any two sets A and B, (A - B) $\cup$ (B - A)=_____.

• 2)

If tan$\theta$ + cot $\theta$ = 5 then tan3 $\theta$ + cot3 $\theta$ is equal to

• 3)

If first and last terms ofanAP. are 3 and 18 and the sum of its terms is 84, then number of terms will be

• 4)

$In\quad the\quad parabola\quad { y }^{ 2 }=4ax,the\quad length\quad of\quad the\quad chord\quad passing\quad through\quad the\quad vertex\quad and\quad inclined\quad to\quad the\quad axis\quad at\frac { \pi }{ 4 } is$

• 5)

State which of the following sets are finite and which are infinite?
B = {x : x$\epsilon$Z and x2 is even}

#### 11th standard CBSE Mathematics Model Question Paper 2019 - by Bala Dec 31, 2018 - View & Download

• 1)

Let U be the universal set containing 700 elements. If A and B are sub-sets of U such that n(A) = 200, n(B) = 300 and n(A $\cap$ B) = 100, then n(A' $\cap$ B') =___.

• 2)

If 4 sin2$\theta=1$ then the values of $\theta$ are

• 3)

The three geometric means between the numbers 1 and 81 are

• 4)

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is

• 5)

Which of the following are sets? Justify your answer.
The collection of all even integers.

#### 11th Standard CBSE Mathematics Full Test - by Bala Dec 31, 2018 - View & Download

• 1)

For any two sets A and B, (A - B) $\cup$ (B - A)=_____.

• 2)

If tan $\theta={\alpha\over \alpha+1}$ and tan $\phi ={1\over 2\alpha+1}$ , then (A+ B) is equal to

• 3)

If Sn denote the sum of n terms of an  AP. whose first term is a and common difference is d given by is d given by d = Sn - kSn-1 + Sn-2 then K is equal to

• 4)

The locus of the points of trisection of the double ordinates of a parabola is a

• 5)

State which of the following sets are finite and which are infinite?
D = {x : x$\epsilon$Z and x > -10}

#### 11th Standard CBSE Mathematics HOTs Questions - by Bala Dec 31, 2018 - View & Download

• 1)

For any two sets A and B, (A - B) $\cup$ (B - A)=_____.

• 2)

In a ΔABC, if the sides are 7cm, 4$\sqrt { 3 }$ cm and .$\sqrt { 13 }$ cm, then the smallest angle is

• 3)

If the first term of an AP. is 5 and common difference is - 3 then sum of its 60 terms is equal to

• 4)

The latus rectum of the hyperbola ${ 16x }^{ 2 }-{ ay }^{ 2 }=144\quad is$

• 5)

Write the following intervals of real numbers in the set·builder form:
(2,10)

#### Introduction to Three Dimensional Geometry Important Questions from CBSE 11th Mathematics - by Bala Dec 15, 2018 - View & Download

• 1)

The ratio in which the line joining (4, -3, 2) and (6, -5, -1) is divided by YZ-plane is

• 2)

The ratio in which the line joining the points (a, b, c) and (-4, 3, -6) is divided by XY-plane is

• 3)

The points (3, 3, 3), (0, 6, 3), (1, 7, 7) and (4, 4, 7) are vertices of

• 4)

If (3, 4, -1) and (-1, 2, 3) be the endpoints of a diameter of a sphere. Then radius of sphere is equal to

• 5)

In the three dimensional space the equation x2 - 7x + 12 = 0 represents

#### 11th Mathematics Limits and Derivatives Important Questions - by Bala Dec 10, 2018 - View & Download

• 1)

$\overset{lim}{x\rightarrow 0} \frac{x}{tan x}$ is

• 2)

$\overset{lim}{x\rightarrow 0} \frac{sin2x}{2}$

• 3)

$\overset{lim}{x\rightarrow 0} \frac{x^{n}-a^{n}}{x-a}$ is equal to

• 4)

$\overset{lim}{x\rightarrow 1} \frac{sin\pi x}{x-1}$ is equal to

• 5)

$\overset{lim}{x\rightarrow 1} \frac{\sqrt{1+x}-1}{x}$ is equal to

#### 11th CBSE Mathematical Reasoning Important Question Paper - by Bala Dec 03, 2018 - View & Download

• 1)

If p and q are two statements given by
p :30 is a multiple of 5.
q :30 is a multiple of 8.
Write the compound statement by using the connective 'and' check its validity.

• 2)

Find the component statement of the following compound statements and check whether they are true or false.
100 is divisible by 3,11 and 5.

• 3)

Write down the converse of the following statements.
If S is a cyclic quadrilateral, then the opposite angles of S are supplementary.

• 4)

For the following compound statement, first identify the connecting words and then break into component statement.
Write the contrapositive and converse of the statement 'Something is cold implies that it has low temperature'.

• 5)

Write the negation of the following statements.
If 2 + 3 = 5, then 5 is an odd number.

#### 11th CBSE Mathematics Statistics Important Question Paper - by Bala Dec 01, 2018 - View & Download

• 1)

Standard deviation of a data is given by

• 2)

If is the variance and o is the S.D. then

• 3)

The mean deviation of the series a, a + d, a + 2d, .... a + nd from its mean is

• 4)

The mean deviation of 6, 7, 8, 9, 10from mean is

• 5)

If the S. D. of a set of observation is 8 and if each observation is divided by- 2 then S.D. of new set of observation is

#### 11th CBSE Mathematics Probability Important Question Paper - by Bala Nov 30, 2018 - View & Download

• 1)

How many are two-digital positive integers multiple of 3?

• 2)

If A and B are two events associated with a random experiment such that P(A)=0.3.P(B)=0.2 and $P(A\cap B)=0.1$ ,then find the value of $P(A\cap B)$

• 3)

Find the probability that in a random arrangement of the letters of the word 'SOCIAL' vowels come together.

• 4)

In a lottery, a person choose 4 different natural numbers at random from 1 to 30 and there four numbers match with the six numbers already fixed by the lottery committee, he wins the prize.What is the probability of winning the prize in the game?

• 5)

Abox contains 5 slips marked 1, 2, 3,4 and 5.Write the sample space of the experiment when
(i) one slip is drawn
(ii) one slip is drawn and not replaced then a second slip is drawn.

#### 11th Mathematics Revision Model Question Paper 1 - by Bala Nov 29, 2018 - View & Download

• 1)

Let F1 be the set of parallelograms, F2 be the set of rectangles, F3 be the set of rhombus and F4 be the set of squares. Then, show that F1 is equal to the union of all sets.

• 2)

Write the following sets in roster form:
B = {x : x ∈ N and -1 < x - 3 < 6}

• 3)

Prove that the sum of first n even numbers is n(n+q).

• 4)

The marks obtained by a student of class XI in first and second terminal examinations are 62 and 48, respectively. Find the minimum marks he should get in the annual examination to have an average of atleast 60 marks.

• 5)

How many 4-digit numbers are there, when a digit may be repeated any number of times?

#### 11th Standard CBSE Mathematics Model Question Paper - by Bala Sep 15, 2018 - View & Download

• 1)

If the set A has m elements, B has n elements then the number of elements in A x B is

• 2)

Let R be a relation from a set A to B, then

• 3)

If R is a relation from a finite set A having m elements to a finite set B having n elemen.ts, then the number of relations from A to B is

• 4)

Which one of the following is not a function

• 5)

Let f(x) = Ix-1I then

#### 11th Standard CBSE Mathematics Public Model Question Paper - by Bala Sep 15, 2018 - View & Download

• 1)

Prove that the sum of first n even numbers is n(n+q).

• 2)

Prove that 2+4+6+8+.....2=n(n+1).

• 3)

Prove that 2+6+18+.....2.3n-1 = (3n - 1) for all $n\in N$.

• 4)

Prove that 1+2+22+...+2n = 2n+1 1 for all natural numbers n.

• 5)

Using principle of mathematical induction, prove that $\left( 1+\frac { 1 }{ 1 } \right) \left( 1+\frac { 1 }{ 2 } \right) \left( 1+\frac { 1 }{ 3 } \right) .....\left( 1+\frac { 1 }{ n } \right) =n+1$

#### Limits And Derivatives - Important Questions Model Question Paper 1 In 11th Maths - by Bala Aug 01, 2018 - View & Download

• 1)

If f(x) = $\left\{ \frac { x+2,x\le -1 }{ { C }x^{ 2 },x>-1 } \right\}$, then find c when $\lim _{ x\rightarrow -1 }{ f(x) }$ exists.

• 2)

Show that $\lim _{ x\rightarrow 4 }{ \frac { |x-4| }{ x-4 } }$does not exist.

• 3)

Evaluate the following limits

$\underset { x\rightarrow 1 }{ lim } \frac { { x }^{ 3 }-1 }{ x-1 }$

• 4)

Evaluate the following limit $\\ \underset { x\rightarrow 0 }{ lim } \frac { tanx-sinx }{ x }$

• 5)

Evaluate the following limits

$\underset { x\rightarrow 2 }{ lim } \frac { { 3x }^{ 2 }-x-10 }{ { x }^{ 2 }-4 }$

#### Introduction To Three Dimensional Geometry - Important Questions Model Question Paper 1 In 11th Maths - by Bala Aug 01, 2018 - View & Download

• 1)

Let L,M,N be the feet of the perpendiculars drawn from a point P(3,4,5) on the X,Y and Z-axes respectively.Find the coordinates of L, M and N.

• 2)

Find the centroid of a triangle, the mid-point of whose sides are D(1, 2, -3), E (3, 0, 1) and F(-1, 1, -4).

• 3)

Find the point on X-axis which is equidistant from the points A(3,2,2) and B(5,5,4)

• 4)

Find the equation of the set of the points which are equidistance from the points (1,2,3) and (3,2,-1).

• 5)

If origin is the centroid of a $\Delta ABC$ with vertices $A(\alpha ,1,3)\quad B(-2,\beta ,-5)\quad and\quad C(4,7,\gamma )$, then find the values of $\alpha ,\beta \quad and\quad \gamma$ .

#### Conic Sections - Important Questions Model Question Paper 1 In 11th Maths - by Bala Aug 01, 2018 - View & Download

• 1)

Find the equation of the parabola which is symmetric about the Y-axis and psses through the point (2,-3).

• 2)

If the parabola y2 = 4ax passes through the point (3,2), find the length of its latusrectum.

• 3)

Find the equation of ellipse, if foci are $(\pm 5,0)$ and a=6.

• 4)

Find the equation of the ellipse, whose axes along coordinates axes, passing through (4,3) and (-1,4).

• 5)

If the distance between the foci of a hyperbola is 16 and its eccentricity is $\sqrt { 2 }$ , then find the equation of the hyperbola.

#### Straight Lines - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 31, 2018 - View & Download

• 1)

Using the distance formula show that the points A(3,-2), B(5,2) and C(8,8) are collinear.

• 2)

Reduce the equation $\sqrt { 3x } +\quad y=4$ into normal form and hence find the values of p and a.

• 3)

Find the equation of a line, whose inclination with X - axis is 150$^{o}$   and which passes through the point (3, - 5).

• 4)

A line passes through P(1, 2) such that its intercept between the axes is bisected at P. Find the equation of line.

• 5)

Find the equation of lines passing through (1, 2) and making an angle 30$^{o}$  with positive Y - axis, measured clockwise.

#### Sequences And Series - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 31, 2018 - View & Download

• 1)

The Sum of first 7 terms of an AP is 10 and that of next 7 terms is 7 terms is 17. Find the AP.

• 2)

Finsd the sum of all two digit numbers which when divided by 4, yield 1 as reminder.

• 3)

If the sum of n terms of an AP is 3n2+5n and its mth term is 164,  find the value of m.

• 4)

The nth term of a sequence is given by  an = 2n + 7. Show that it is an AP. Also, find its 8th term,

• 5)

Which term of the progression 19, 18 $\frac { 1 }{ 5 }$, 17$\frac { 2 }{ 5 }$, .....is negative term ?

#### Binomial Theorem - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 31, 2018 - View & Download

• 1)

Find (a + b)4 - (a - b)4.
Hence, evaluate ${ \left( \sqrt { 3 } +\sqrt { 2 } \right) }^{ 4 }-{ \left( \sqrt { 3 } -\sqrt { 2 } \right) }^{ 4 }$

• 2)

Find the middle term(s) in the given expansion.
$\left( \frac { x }{ 3 } +9y \right) ^{ 10 }$

• 3)

Find the coefficient of xn in the expansion of (1+x)n (1-x)n

• 4)

Expand the following expansions.
(1-x2)7/3

• 5)

Using binomial theorem, expand the following expressions.
$\left( x-\frac { 1 }{ 2x } \right) ^{ 5 }$

#### Permutation And Combination - Important Questions Model Question Paper In 11th Maths - by Bala Jul 31, 2018 - View & Download

• 1)

A gentleman has 6 friends to invite, Inhow many ways can he send invitation cards to them, if he has threee servants to carry the cards?

• 2)

Find the number of different words that can be formed from the letters of the word 'TRIANGLE' so that no vowels are together.

• 3)

Find the number of ways in which a team of eleven players can be selected from 22 players, if two particular player are always including anf four are always excluding

• 4)

Evaluate 15C15C-15C-15C7

• 5)

Sunil wants to arrange 3 Economics, 2 History and 4 Language books on a shelf. If the books of the same subject are different.Determine the number of all possible arrangements

#### Linear Inequalities - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 30, 2018 - View & Download

• 1)

Solve $|x-1|\le 2$.

• 2)

IQ (Intelligent Quotient) of a person is given by formula,
IQ = $\frac { MA }{ CA }$ $\times$100
Where MA stands for the mental age of the person and CA for the chronological age. If the 80 $\le$ IQ $\le$ 140 for a group of 12 yr children, then find the range of their mental age.

• 3)

In drilling world's deepest hole it was found that the temperature T in degree Celcius x km below the Earth's surface was given by T (x) = 30 + 25(x - 3), where 3 $\le$ x $\le$ 15. At what depth will the temperature be between 155o C and 205o C?

• 4)

Solve the following system of linear inequalities.
$\frac { 4x }{ 3 } -\frac { 9 }{ 4 } <x+\frac { 3 }{ 4 } and\frac { 7x-1 }{ 3 } -\frac { 7x+2 }{ 6 } >x$

• 5)

Solve 2x - 1 > x + $\frac { 7x-1 }{ 3 }$ > 2, $\epsilon$ R.

#### Complex Numbers And Quadratic Equations - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 30, 2018 - View & Download

• 1)

Find the conjugate of the complex number $\frac { 1-i }{ 1+i }$

• 2)

Find the conjugate and modulus of the complex number (3 - 2i) (3 + 2i) (1 + i).

• 3)

Find the real value of $\theta$ for which the expression $\frac { 1+icos\theta }{ 1-2icos\theta }$ is a real number.

• 4)

Express $\frac { 5+\sqrt { 2 } i }{ 1-\sqrt { 2 } i }$ in the form a+ib

• 5)

Find the equation $\frac { \left( 3+i\sqrt { 5 } \right) \left( 3-i\sqrt { 5 } \right) }{ \left( \sqrt { 3 } +i\sqrt { 2 } \right) -\left( \sqrt { 3 } -i\sqrt { 2 } \right) }$ as a single complex number x+iy

#### 11th Maths Model Question Paper 3 - by Bala Jul 30, 2018 - View & Download

• 1)

Prove that 2+6+18+.....2.3n-1 = (3n - 1) for all $n\in N$.

• 2)

Prove that 1+2+22+...+2n = 2n+1 1 for all natural numbers n.

• 3)

Using principle of mathematical induction, prove that $\left( 1+\frac { 1 }{ 1 } \right) \left( 1+\frac { 1 }{ 2 } \right) \left( 1+\frac { 1 }{ 3 } \right) .....\left( 1+\frac { 1 }{ n } \right) =n+1$

• 4)

Using principle of mathematical induction, prove that
$\frac { 1 }{ 2.5 } +\frac { 1 }{ 5.8 } +\frac { 1 }{ 8.11 } +....+\frac { 1 }{ (3n-1)(3n+2) } =\frac { n }{ 6n+4 }$

• 5)

Prove that $\sum _{ t=1 }^{ n-1 }{ t(t+1) } =\frac { n(n-1)(n+1) }{ 3 }$ , for all natural numbers $n\ge 2$

#### Trigonometric Functions - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 30, 2018 - View & Download

• 1)

Prove that $sin\quad (n+1)x\quad sin\quad (n+2)x\quad +\quad cos\quad (n+1)x.cos\quad (n+2)x=cos\quad x.$

• 2)

Show that
$cos\left( \frac { \pi }{ 4 } -\theta \right) cos\left( \frac { \pi }{ 4 } -\phi \right) -sin\left( \frac { \pi }{ 4 } -\theta \right) sin\left( \frac { \pi }{ 4 } -\phi \right) =sin\left( \theta +\phi \right) .$

• 3)

Prove that $\cos 2\alpha \cos2\beta +{\sin }^{ 2 }\left( \alpha -\beta \right) -{ \sin }^{ 2 }\left( \alpha +\beta \right) =\cos2(\alpha +\beta )$

• 4)

$if\quad \theta is\quad an\quad acute\quad angle\quad and\quad tan\theta =\cfrac { 1 }{ \sqrt { 7 } } ,\quad then\quad find\quad the\quad value\quad of\quad \cfrac { cose{ c }^{ 2 }\theta -se{ c }^{ 2 }\theta }{ cose{ c }^{ 2 }\theta +se{ c }^{ 2 }\theta }$

• 5)

$If\quad sin\quad A=\cfrac { 3 }{ 5 } ,0<A<\cfrac { \pi }{ 2 } and\quad cosB=-\cfrac { 12 }{ 13 } ,\pi <B<\cfrac { 3\pi }{ 2 } ,find\quad tan)(A-B)$

#### Relations And Functions - Important Questions Model Paper In 11th Maths - by Bala Jul 27, 2018 - View & Download

• 1)

Let $f$ and $g$ be real functions defines by $f(x)=\sqrt { x+2 }$  and $g$ , then$g(x)=\sqrt { 4-{ x }^{ 2 } }$ find the following function:  $f+g$

• 2)

Let $f$ and  $g$ be real functions defines by $f(x)=\sqrt { x+2 }$  and  $g$  , then$g(x)=\sqrt { 4-{ x }^{ 2 } }$ find the following function: f.g

• 3)

Let $f$ and  $g$ be real functions defines by $f(x)=\sqrt { x+2 }$  and  $g$  , then$g(x)=\sqrt { 4-{ x }^{ 2 } }$ find the following function: $\frac { f }{ g }$

• 4)

Find the domain and range of the relation R = {(x, y): x + y = 8; x, $y\in N$}

• 5)

Let$f:\left[ 2,\infty \right] \rightarrow R$ and $g:\left[ -2,\infty \right] \rightarrow R$  be two real functions defined by $f(x)=\sqrt { x-2 }$ and $g(x)=\sqrt { x+2 }$ Find $f+g$ and $f-g$

#### Sets - Important Questions Model Question Paper 1 In 11th Maths - by Bala Jul 27, 2018 - View & Download

• 1)

In a group of 400 people, 250 can speak Hindi and 200 can speak English.How many can speak both Hindi and English?

• 2)

Let n(U) = 700, n(A) = 200, n(B) = 300 and $n(A\cap B)$ = 100 .Find $n({ A }^{ ' }\cap { B }^{ ' })$.

• 3)

Let F1 be the set of parallelograms, F2 be the set of rectangles, F3 be the set of rhombus and F4 be the set of squares. Then, show that F1 is equal to the union of all sets.

• 4)

If U={a,b,c,d,e,f}, A={a,b,c}, B={c,d,e,f}, C={c,d,e}, D={d,e,f}, then tabulate the following set U$\cap$D

• 5)

If U={a,b,c,d,e,f}, A={a,b,c}, B={c,d,e,f}, C={c,d,e}, D={d,e,f}, then tabulate the following set (U$\cap \phi$)'

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#### CBSEStudy Material - Sample Question Papers with Solutions for Class 11 Session 2019 - 2020

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