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Let S =x^2 + y^2 + 2gx + 2fy +c = 0 be a...

Let `S =x^2 + y^2 + 2gx + 2fy +c = 0` be a gives circle. Find the locus of the foot of the perpendicular drawn from the origin upon any chord, which subtends a right angle at the origin.

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