Doubt from circles

Tangent drawn to x²+y²=25 at the point P(3,4) meets the circle x²+y²=81 at the points A and B. If the tangents drawn to x²+y²=81 at the points A and B intersect at C, then co-ordinates of C are

Ans:(243/25, 324/25)

Use T=0 for circle 1 to get equation for tangent at point of contact . Then use T=0 for circle 2 to get eqn of chord of contact .compare the two eqn and get answer

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