Let phi(t)=5/12-t^2+t. The max. value of...

Let `phi(t)=5/12-t^2+t`. The max. value of `phi(t)` is eccentricity of ellipse `x^2/a^2+y^2/b^2=1` which has a latus rectum of length 10. Find `(a^2+b^2)`.

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B, D

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