Locus of midpoint of chord... | JEE Main 2026 22 Jan Shift 2

JEE MAIN 2026

22-01-2026 S2

Question

Let the locus of the mid-point of the chord through the origin O of the parabola $y^2=4 x$ be the curve S . Let $P$ be any point on $S$. Then the locus of the point, which internally divides $O P$ in the ratio $3: 1$, is :

Select the correct option:

$2 y^2=3 x$

$3 x^2=2 y$

$2 x^2=3 y$

$3 y^2=2 x$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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