A circle of radius r passes through origin and cut the 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) $(x^{2} + y^{2})^{3} = r^{2} (x^{2} y^{2})$ (B) $(x^{2} + y^{2})^{2} (x + y) = r^{2} (x y)$ (C) $(x^{2} + y^{2})^{2} = r^{2} (x^{2} y^{2})$ (D) $(x^{2} + y^{2})^{3} = 4 r^{2} (x^{2} y^{2})$

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A circle of radius r passes through origin and cut the 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^{2} y^{2})

(B)

(x^{2} + y^{2})^{2} (x + y) = r^{2} (x y)

(C)

(x^{2} + y^{2})^{2} = r^{2} (x^{2} y^{2})

(D)

(x^{2} + y^{2})^{3} = 4 r^{2} (x^{2} y^{2})

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Question Text

A circle of radius r passes through origin and cut the 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^{2} y^{2})

(B)

(x^{2} + y^{2})^{2} (x + y) = r^{2} (x y)

(C)

(x^{2} + y^{2})^{2} = r^{2} (x^{2} y^{2})

(D)

(x^{2} + y^{2})^{3} = 4 r^{2} (x^{2} y^{2})

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