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a variable circle passes through the fixed point A(p,q) and touches x axis .the locus of the other end of the diameter through A is
Psq+xsq-2px+psq-yp=o.Sq means square of that variable . Use diametric form of circle .Let the point be (h,k) and for ease take it above the pt of intersection of circle with x axis then the pt will become (h,0) and now apply diametric form .
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