Q. 43.6( 55 Votes )

If from any point

Answer :

Let the two circle intersect at a point X and Y , XY is the common chord.

Suppose A is a point on their common chord and AM and AN be the tangent drawn from A to the circle

AM is the tangent and AXY is a secant.

AM= AX×AY        ............(i)

AN is the tangent and AXY is the secant. 

AN= AX×AY        ............(i)

Therefore, from equations (i) and (ii), we get,

AM = AN.

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