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JEEMAIN-2015
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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 the locus of P is :
$\begin{array}{1 1} x^2=y \\ y^2=x \\ y^2=2x \\ x^2=2y \end{array} $
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