JEE Main 2015MathematicsEllipseEasyMCQ

JEE Main 2015 — Ellipse Question with Solution

JEE Main 2015 (11 Apr Online)

Question

If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B2-1

Step-by-step explanation

2ae=12×2b2a

2e=b2a2

We know that

e=1-b2a2

e=1-2e

e2=1-2e

e2+2e-1=0

-2±4+42=-2±222

-1+2  & -1-2

∴   e=2-1

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About this question

This is a previous-year question from JEE Main 2015, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.