Let {\P} be a parabola with vertex (2,3) and directrix 2 x+y=6. Let an ellipse E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b of eccentricity {1}/{\sqrt{2}} pass through the focus of the parabola P. Then the square of the length of the latus rectum of {\E}, is [31-Jan-2024 Shift 2]

JEE Main 31-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 7 of 90

Marks: +1, -0

Let P be a parabola with vertex (2,3) and directrix 2x+y=6. Let an ellipse E:‌

+‌

=1,a>b of eccentricity ‌

√2

pass through the focus of the parabola P. Then the square of the length of the latus rectum of E, is

[31-Jan-2024 Shift 2]

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