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Ellipse question

2025 · 7 Apr · Shift 2 · Q33

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JEE Main
Mathematics
Ellipse
2025 · 7 Apr · Shift 2 · Q33

Ellipse question

2025 · 7 Apr · Shift 2 · Q33

JEE MainMathematicsEllipseMCQ+4 / −1

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
115
B
120
C
125
D
126

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