Let the length of a latus rectum of an ellipse x²/a² + y²/b² = 1… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let the length of a latus rectum of an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ be $10$ . If its eccentricity is the minimum value of the function $f(t) = t^2 + t + \frac{11}{12}$ , $t \in \mathbb{R}$ , then $a^2 + b^2$ is equal to:

A
$125$
B
$126$
C
$120$
D
$115$

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