In Figure, `B C` is a tangent to the circle with centre `OdotO E` bisects `A Pdot` Prove that ` A E O ~ A B Cdot`

In Figure,BC is a tangent to the circle with centre O CE bisects AP. Prove that AEO-ABC.

In Fig.10.64,BC is a tangent to the circle with centre O.OE bisects AP.Prove that Delta ABC-Delta AEO

In the adjacent figure, BC is a tangent to the circle with centre 'O'. OE bisects AP. prove that triangle AEO ~ triangle ABC .

In Figure, O is the centre of the circle. Find /_B A C

In Figure,AB=CB and O is the centre of the circle.Prove that BO bisects /_ABC .

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, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

In Figure, two tangents A Ba n dA C are drawn to a circle with centre O such that /_B A C=120^0dot Prove that O A=2A B

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 .

In a figure the common tangents, AB and CD to two circles with centers O and O' intersect at E. Prove that the points O, E and O' are collinear.