Circles with centres P and Q intersects at points A and B as shown in the figure. CBD is a line segment and EBM is tangent to the circle, with centre Q, at point B. If the circles are congruent, show that : CE = BD.

In Figure, X Pa n dX Q are tangents from X to the circle with centre OdotR is a point on the circle. Prove that, X A+A R=X B+B R

The congruent circles with centres Oand O' intersect at two points A and B. Then, angleAOB=angleAO'B .

In figure-3, PQ is tangent to the circle with centre at O, at the point B. if angleAOB=100^(@) , then angleABP is equal to

Two circles with centres O and O'are drawn to intersect each other at points A and B. Centre O of one circle lies on the circumference of the other circle and CD is drawn tangent to the circle with centre O' at A. prove that OA bisects angle BAC.

In Figure, P A and P B are tangents to the circle with centre O such that /_A P B=50^@ . Write the measure of /_O A B .

The circle above with centre A has an area of 21. BC is tangent to the circle with centre A at point B. IF AC=2AB, then what is the area of the shaded region?

P Q is a tangent to a circle with centre O at the point P . If /_\ O P Q is an isosceles triangle, then /_O Q P is equal to :

In figure PQ is tangent to the circle with centre at O at the point B , if angle AOB = 100^(@) , then angle ABP is equal to

Consider the current carrying loop shown in figure formed of radial lines and segments of circles whose centres are at point P . Find the magnitude and direction of B at point P.

Two circles with centres A and B intersect each other at points P and Q. Prove that the centre-line AB bisects the common chord PQ perpendicularly.