Find the general equation of a circle cu...

Find the general equation of a circle cutting `x^2 + y^2=c^2` orthogonally and show that if it passes through the point `(a, b)`, it will also pass through the point. `((c^2 a)/(a^2 + b^2) , (c^2 b)/(a^2+b^2))`.

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Find the general equation of a circle cutting `x^2 + y^2=c^2` orthogonally and show that if it passes through the point `(a, b)`, it will also pass through the point. `((c^2 a)/(a^2 + b^2) , (c^2 b)/(a^2+b^2))`.

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