JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 February 2021, Shift 2, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

If the curve

x^2 + 2y^2 = 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 :

(1) $\frac{\pi}{2} + \tan^{-1}\left(\frac{1}{4}\right)$ Official answer
(2) $\frac{\pi}{2} - \tan^{-1}\left(\frac{1}{4}\right)$
(3) $\frac{\pi}{2} + \tan^{-1}\left(\frac{1}{3}\right)$
(4) $\frac{\pi}{2} - \tan^{-1}\left(\frac{1}{3}\right)$

Official answer

Option 1

NTA final key.

Chapter: Conic Sections
Topic: Pair of Straight Lines
Idea tested: Homogenization of curves

Same topic in other shifts

All Pair of Straight Lines questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.