JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

If the distance between the foci of an ellipse is 8 and distance between its directrix is 10, then length of its latus rectum is

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Correct option: C

\frac{4}{\sqrt{5}}

Option C (

\frac{4}{\sqrt{5}}

) is correct because after finding the eccentricity and semi-major axis, the latus rectum can be calculated using the formula

\frac{2b^2}{a}

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