Prove that the centres of the circles

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

Problem

Prove that the centres of the circles x2+y2=1x^2 + y^2 = 1 , x2+y2+6x−2y−1=0x^2 + y^2 + 6x - 2y - 1 = 0 and x2+y2−12x+4y=1x^2 + y^2 - 12x + 4y = 1 are collinear.

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