Let P be a parabola with vertex |Ellipse| JEE main 2024

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Jee Main 2024

31-01-2024 (S2)

Question

Let P be a parabola with vertex $(2,3)$ and directrix $2 x+y=6$. Let an ellipse $E: x_{a_2}{ }^2+y_{b^2}=1, a>b$ of eccentricity $\frac{1}{\sqrt{2}}$ pass through the focus of the parabola $P$. Then the square of the length of the latus rectum of $E$, is

Select the correct option:

A

$\frac{385}{8}$

B

$\frac{347}{8}$

C

$\frac{512}{25}$

D

$\frac{656}{25}$

✓ Correct! Well done.

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Solution

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