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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 given circle. Find the locus of the foot of the perpendicular drawn from the origin upon any chord of S which subtends a right angle at the origin.

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The correct Answer is:
`x^(2) +y^(2) +8x + fy+ (c )/( 2) =0`
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