JEE Main 2026 — Ellipse Question with Solution
JEE Main 2026 (28 January Shift 2)
Question
Let the ellipse and the hyperbola have the same foci. If e and L respectively denote the eccentricity and the length of the latus rectum of H, then the value of is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D296
Step-by-step explanation
Ellipse E: has , so with foci at .
Hyperbola H: has the same foci, so , giving .
Thus H is with .
Eccentricity: .
Latus rectum: .
Therefore
Hyperbola H: has the same foci, so , giving .
Thus H is with .
Eccentricity: .
Latus rectum: .
Therefore
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This is a previous-year question from JEE Main 2026, 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.