jee-main 2015 Q71

jee-main · India · 04apr Circles Circle-Related Locus Problems

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

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

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