Let the length of the latus rectum of an ellipse x²/a²+y²/b²=1 (a… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let the length of the latus rectum of an ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ $(a>b)$ be $30$ . If its eccentricity is the maximum value of the function $f(t)=-\dfrac{3}{4}+2t-t^2$ , then $(a^2+b^2)$ is equal to

A
$276$
B
$516$
C
$256$
D
$496$

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