English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

In the given figure, O is the centre of the circle. If ∠BOD = 160°, find the values of x and y.

In the given figure, ABCD is a cyclic quadrilateral. If ∠BCD = 100° and ∠ABD = 70°, find ∠ADB.

If ABCD is a cyclic quadrilateral in which AD || BC (In the given figure). Prove that ∠B = ∠C.

In the given figure, O is the centre of the circle. Find ∠CBD.

In the given figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 50°, find ∠AOC.

On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).

In the given figure, O is the centre of the circle and ∠DAB = 50° . Calculate the values of xand y. 

The bisects of exterior angle at B and C of ΔABC meet at O. If ∠A = x°, then ∠BOC =

In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC. 

In the given figure, if ABC is an equilateral triangle. Find ∠BDC and ∠BEC.

In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.

In ΔRST (See figure), what is the value of x?

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is

If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =

A chord of length 14 cm is at  a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is

One chord of a circle is known to be 10 cm. The radius of this circle must be

ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with Aas centre and AC as radius. The length of the chord of this circle passing through C and B is