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Prove that the circle x^(2) + y^(2) + 2a...

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

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