Let the length of a latus rectum of an ellipse x^2 a^2 + y^2 b^2 = 1 be 10. If its eccentricity is the...

Question

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

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(3)

JEE Main 2025 Mathematics question

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