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The locus of the midpoints of the chords...

The locus of the midpoints of the chords of the circle `x^2+y^2-a x-b y=0` which subtend a right angle at `(a/2, b/2)` is (a) `a x+b y=0` (b) `a x+b y=a^2=b^2` (c) `x^2+y^2-a x-b y+(a^2+b^2)/8=0` (d) `x^2+y^2-a x-b y-(a^2+b^2)/8=0`

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