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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let

x*y = x^2 + y^3

and

(x*1)*1 = x*(1*1)

. Then a value of

2\sin^{-1}\left(\frac{x^4+x^2-2}{x^4+x^2+2}\right)

is

(1) $\frac{\pi}{4}$
(2) $\frac{\pi}{3}$ Official answer
(3) $\frac{\pi}{2}$
(4) $\frac{\pi}{6}$

Official answer

Option 2

NTA final key.

Chapter: Inverse Trigonometric Functions
Topic: Inverse Trig Identities
Idea tested: Inverse Trig Simplification via tan(θ)

Same idea in other shifts

Asked 2× in all

8 Apr 2025, Shift 2 · Q13The value of…HardSingle correct

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.