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# Let O be the vertex and Q be any point on the parabola,

Question:

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

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

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

3. $x^{2}=y$

4. $y^{2}=x$

Correct Option:

Solution:

Let P(h, k) divides segment

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