ParabolaHard

Question

Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :-

Options

A.y2 = 2x
B.x2 = 2y
C.x2 = y
D.y2 = x

Solution


Let P(h, k) divides segment OQ in the ratio 1 : 3

⇒ h =
k =
⇒ k =
∴ locus of P is x2 = 2y

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