JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

If the normal at one end of the latusrectum of an ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

passes through the one end of the minor axis, then

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Correct option: D

e^4+e^2-1=0

The correct answer is D (

e^4+e^2-1=0

) because it is derived from the condition that the normal at one end of the latus rectum passes through one end of the minor axis.

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