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Prove that the centres of the circles x^...

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

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The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=1 are :

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Prove that the radii of the circles x^(2)+y^(2)=1,x^(2)+y^(2)-2x-6y=6andx^(2)+y^(2)-4x-12y=9 are in AP.

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