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A circle of radius r passes through orig...

A circle of radius r passes through origin and cut the x-axis and y-axis at `P` and `Q`. The locus of foot of perpendicular drawn from origin upon line joining the points `P` and `Q` is (A) `(x^2+y^2)^3=r^2(x^2y^2)` (B) `(x^2+y^2)^2(x+y)=r^2(xy)` (C) `(x^2+y^2)^2=r^2(x^2y^2)` (D) `(x^2+y^2)^3=4r^2(x^2y^2)`

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