English Medium Class 9 - CBSE Question Bank Solutions

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. 

In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.

In the given figure, AB is a diameter of the circle such that ∠A = 35° and ∠Q = 25°, find ∠PBR.

In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =

In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.

If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are

If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.