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A line through (0,0) cuts the circel x ^...

A line through `(0,0)` cuts the circel `x ^(2) +y^(2) -2ax =0` at A and B , then the locus of the centre of the circle drawn on AB as diameter is-

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A variable chord is drawn through the origin to the circle x^(2)+y^(2)-2ax=0. Find the locus of the center of the circle drawn on this chord as diameter.

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