JEE Main 2026 — Ellipse Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let each of the two ellipses and have eccentricity . Let the lengths of the latus recta of and be and , respectively, such that . If the distance between the foci of is 8, then the distance between the foci of is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Both ellipses have .
For ():
.
Latus rectum .
Distance between foci of :
, so .
For (, major axis along ):
.
Latus rectum .
Given :
.
Distance between foci of
For ():
.
Latus rectum .
Distance between foci of :
, so .
For (, major axis along ):
.
Latus rectum .
Given :
.
Distance between foci of
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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.