Let $O$ be the vertex and $Q$ be any point on the parabola, ${{x^2} = 8y}$. If the point $P$ divides the line segment $OQ$ internally in the ratio $1:3$, then locus of $P$ is : - DASH

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Question

Let $O$ be the vertex and $Q$ be any point on the parabola, ${{x^2} = 8y}$. If the point $P$ divides the line segment $OQ$ internally in the ratio $1:3$, then locus of $P$ is :

${y^2} = 2x$

${{x^2} = 2y}$

${{x^2} = y}$

${y^2} = x$

Solution

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