Question

Two tangents PA and PB are drawn from P to a circle with center O. Prove OP bisects ∠APB. (NCERT Class 10)

Answer: From previous result, PA=PB. Also OA=OB and OP common. So triangles OAP and OBP are congruent (SSS). Hence ∠APO=∠OPB, meaning OP bisects ∠APB.

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Question

Two tangents PA and PB are drawn from P to a circle with center O. Prove OP bisects ∠APB. (NCERT Class 10)

Answer: From previous result, PA=PB. Also OA=OB and OP common. So triangles OAP and OBP are congruent (SSS). Hence ∠APO=∠OPB, meaning OP bisects ∠APB.