Ellipse Latus Rectum Eccentricity (Jee Mains)

Ellipse

Medium

Ellipse Latus Rectum Eccentricity

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) = t² + t + $\frac{{11}}{{12}}$ , $t \in R$ , then a² + b² is equal to :

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