JEE Main 2021MathematicsEllipseChord Of EllipsemediumMCQ

JEE Main 2021 — Ellipse Question with Solution

From: JEE Main 2021 (Online) 25th July Morning Shift

Question

Let an ellipse , , passes through and has eccentricity . If a circle, centered at focus F(, 0), > 0, of E and radius , intersects E at two points P and Q, then PQ2 is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

and



...... (i)

Its focus is (1, 0)

Now, equation of circle is

..... (ii)

Solving (i) and (ii) we get



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 2021, 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.