JEE Main 2026 — Ellipse Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
Let lie on the circle and the point lie on an ellipse with eccentricity . Then the value of is equal to .
Enter your answer
Show full solutionCorrect answer: 9
Correct answer
9
Step-by-step explanation
Since lies on circle , we have and .
The transformed point is .
Rearranging:
This is an ellipse with , , so
Therefore
The transformed point is .
Rearranging:
This is an ellipse with , , so
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.