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Prove that the circles x^(2)+y^(2)+2ax+c...

Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each other, if `(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`.

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