Let for two distinct values of p, the lines y = x + p touch the e… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let for two distinct values of $p$ , the lines $y = x + p$ touch the ellipse $E: \frac{x^2}{4^2} + \frac{y^2}{3^2} = 1$ at the points $A$ and $B$ . Let the line $y = x$ intersect $E$ at the points $C$ and $D$ . Then the area of the quadrilateral $ABCD$ is equal to:

A
$36$
B
$24$
C
$48$
D
$20$

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