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Question

Prove that the line segment joining the points of contact of two parallel tangents of a circle passes through its centre.

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Solution

OA||PQPMOAOM=180°(AdjacentC)&PMO=90°(TangentperpendiculartoRadii)AOM=90°=AONAON+RNO=180°
So, MON is straight line through O

1233998_1525821_ans_b040d01d88444762a83566c63d039384.png

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