Mathematics · 2025
JEE Main · 4 April 2025, Shift 2 · Q10
Let for two distinct values of p the lines y=x+ p touch the ellipse E: x^2/4^2+y^2/3^2=1 at the points A and B. Let the line y=x intersect E at the…
Let for two distinct values of p the lines $\displaystyle y=x+\mathrm{p}$ touch the ellipse $\displaystyle \mathrm{E}: \frac{x^2}{4^2}+\frac{y^2}{3^2}=1$ at the points A and B. Let the line $\displaystyle y=x$ intersect E at the points C and D. Then the area of the quadrilateral ABCD is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 24$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.