JEE Main 2026 — Ellipse Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
Let S and be the foci of the ellipse and be a point on the ellipse in the first quadrant. If , then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D13
Step-by-step explanation
For the ellipse , we have , , .
So foci are at .
For point on the ellipse: .
Given
Let and .
From , we get .
Substituting into the given equation: , so .
Thus .
From and , subtracting gives , so .
From the ellipse equation: .
Therefore .
So foci are at .
For point on the ellipse: .
Given
Let and .
From , we get .
Substituting into the given equation: , so .
Thus .
From and , subtracting gives , so .
From the ellipse equation: .
Therefore .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Ellipse chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
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.