English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

Find:-

`16^(3/4)`

Find:-

`125^((-1)/3)`

Simplify:-

`(1/3^3)^7`

Simplify:

`11^(1/2)/11^(1/4)`

Simplify:

`7^(1/2) . 8^(1/2)`

If O is the centre of the circle, find the value of x in the following figures.

If O is the centre of the circle, find the value of x in the following figures.

O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A.

In the given figure, O is the centre of the circle, BO is the bisector of ∠ABC. Show that AB = BC. 

In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x. 

In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.

In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.

In the given figure, O is the centre of the circle, prove that ∠x = ∠y + ∠z. 

In the given figure, O is the centre of a circle and PQ is a diameter. If ∠ROS = 40°, find ∠RTS.

Prove that the line segment joining the mid-point of the hypotenuse of a right triangle to its opposite vertex is half the hypotenuse.

In the given figure, two circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.

In the given figure, two congruent circles with centres O and O' intersect at A and B. If ∠AOB = 50°, then find ∠APB.

In the given figure, if ∠AOB = 80° and ∠ABC = 30°, then find ∠CAO.