Tangents are drawn to the circles

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Tangents are drawn to the circles x2+y2+4x+6y−19=0x^2 + y^2 + 4x + 6y - 19 = 0 , x2+y2=9x^2 + y^2 = 9 from any point on the line 2x+3y=52x + 3y = 5 . Prove that their lengths are equal.

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