JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 25th February Evening Shift
Question
If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Ellipse :
Line :

Using homogenisation
for
Line :

Using homogenisation
for
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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.