JEE Main 2021MathematicsEllipseHardMCQ

JEE Main 2021 — Ellipse Question with Solution

JEE Main 2021 (25 Feb Shift 2)

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: C
Correct answer
Cπ2+tan-114

Step-by-step explanation

Homogenising

x2+2y2-2x+y2=0

⇒-x2-4xy=0⇒x2+4xy=0

Lines are x=0 and y=-x4

∴ Angle between lines =π2+tan-114

option 3

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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.