A straight line intersects three concentric circles at ,

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

A straight line intersects three concentric circles at

A

B

, and

C

. If the distance of the line from the centre of the circles is

p

, prove that the area of the triangle formed by the tangents to the circles at

A

B

, and

C

\frac{1}{2p}\cdot AB\cdot BC\cdot CA