Prove that the circles and touch each other

MATHEMATICS · Subjective · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Prove that the circles x2+y2+2ax+2by=0x^2 + y^2 + 2ax + 2by = 0 and x2+y2+2a1x+2b1y=0x^2 + y^2 + 2a_1x + 2b_1y = 0 touch each other, if ab1=a1bab_1 = a_1b.

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