JEE Main 2024MathematicsEllipseEasyMCQ

JEE Main 2024 — Ellipse Question with Solution

JEE Main 2024 (30 Jan Shift 1)

Question

If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D25

Step-by-step explanation

The length of minor axis is given by 2b and the distance between foci is given by 2ae

Given: 2b=12×2ae

⇒2b=ae

⇒4b2=a2e2

⇒4b2a2=e2

⇒41-e2=e2

⇒4-4e2=e2

⇒e=25

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About this question

This is a previous-year question from JEE Main 2024, 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.