Find the locus of the midpoints of chords of the circle ,subtending a right angle at the point (a,b).
Given circle is
Let P(x,y) be the mid point of a chord AB of the circle S=0.
P(x,y) lies inside S=0
Length of the chord AB is
Let C=(a,b). Given
Circle on AB as diameter passes through C.
Therefore,locus of P is