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The tangent and a normal to a curve at a...

The tangent and a normal to a curve at any point P meet the x and y axes at A,B,C and D respectively. Find the equation of the curve passing through (1,0) if the centre of circle through O,C,P and B lies on the line y=x (where O is origin).

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`log(sqrt(x^(2) + y^(2))) + tan^(-1) ((y)/(x)) = 0`
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