Let be any point on the parabola

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let (x,y)(x,y) be any point on the parabola y2=4xy^2=4x. Let PP divide the line segment from (0,0)(0,0) to (x,y)(x,y) in the ratio 1:31:3. Then the locus of PP is (1) x2=yx^2=y (2) y2=2xy^2=2x (3) y2=xy^2=x (4) x2=2yx^2=2y

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