Prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0

Prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0

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Prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0
prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0
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