In the given figure, PC is a tangent to the circle at C. AOB is the diameter which when extended meets the tangent at P. Find ∠ CBA and ∠ BCO, if ∠ PCA = 110°.

Question

TextDefinition of Tangent to a CircleTheorem on Tangent Perpendicular to Radius at Point of ContactCBSE PYQ

Assertion (A) : The tangents drawn at the end points of a diameter of a circle, are parallel. Reason (R) : Diameter of a circle is the longest chord.

In the given figure, AB is a diameter of the circle with centre O. AQ, BP and PQ are tangents to the circle. Prove that ∠POQ = 90°.