Calculate the value of 4√28\(\div\)3√7.

What is the degree of polynomial \(\sqrt { 3 } \)?

Is x=4, y=0, the solution of y-4=0?

How can we identify parallel lines?

Write the complementary angle of 65^o.

\(\triangle PQR\cong \triangle ABC\), if PQ = 5 cm, \(\angle\)Q = 40° and \(\angle\)P = 80°, calculate the value of \(\angle\)C.

D, E, F are the mid-points of sides BC, CA and AB of ΔABC. If perimeter of ΔABC is 12·8 cm, then perimeter of ΔDEF is: .....

In the figure below,PR is the perpendicular bisectors of a line segment AB=16 cm.Is PA=PB true?

If the number of square centimetres in the surface area of a shpere is equal to the number of cubic cm in its volume. find the diameter of the sphere?

For the given data: 11,15, 17, y+1, 19, y-2, 3; if the mean is 14, find the value of y.

Rationalize \(\frac { 5 }{ \sqrt { 3 } -\sqrt { 5 } } \left( -\frac { 5 }{ 2 } \right) \)

Factorise: \(a^{12}y^4-a^4y^{12}.\)

In figure, \(\triangle ABC\) is an equilateral triangle with coordinates of B and C as (-4,0) and (4,0) respectively.Find the coordinates of the vertex.

Express y in terms of x in equation 2x-3y=12. Find the points where the line represented by this equation cuts x-axis and y-axis.

In figure if OQ || RS and \(\angle PXM=50^{ 0 }\) and \(\angle MYS\) =\(120^{ 0 }\) Find the value of x.

 

In figure, if \(\angle ABD=\angle ACE\) and AB = AC.Prove that \(\triangle ABD=\triangle ACE\)

Find the length of a chord of a circle which is at a distance of 4 cm from the centre of the circle with radius 5 cm.

Find the area of a parallelogram whose sides are 13 cm and 14 cm and diagonal is 15 cm.

The volume of a right circular cylinder is 1100 cm³ and the radius of its base is 5 m. Find its curved surface area. \(\left( Use\ \pi =\frac { 22 }{ 7 } \right) \)

Find the mode of the following data:

Classify the following numbers as rational or irrational: 0.3796

If \(x^2-3x+2\) is a factor of \(x^4-ax^2+b\) then find a and b

For what value of k, the linear equation 2x+ky=8 has x=2 and y=1 as its solution? If x=4, then find the value of y.

If a transversal intersects two parallel lines, then prove that bisectors of alternate interior angles are in parallel.

Prove that the perimeter of a triangle is greater than the sum of its three altitudes.

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that\(ar(\Delta APB)\times ar(\Delta CPD)=ar(\Delta APD)\times ar(\Delta BPC)\)

If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD [see figure].

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
(i) Which box has the greater lateral surface area and by how much?
(ii) Which box has the smaller total surface area and by how much?

The daily earning of 30 workers are given below:

Draw a histogram and a frequency polygon on representing the above data.