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If from any point on the common chord of two intersecting circles tangents be drawn to circles prove that they are equal.

If from any point on the common chord of two intersecting circles tangents be drawn to circles prove that they are equal.

Grade:10

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
8 years ago
Hii

You can consider XY as the common chord of two intersecting circles. And A is the point on common chord from where you are drawing the common tangents

AM2 = AX * AY

&

AN2 = AX *AY

Hence proved

AM =AN

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