JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 29 July 2022, Shift 2, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

The domain of the function

f(x)=\sin^{-1}\left(\frac{x^2-3x+2}{x^2+2x+7}\right)

is :

(1) $[1,\infty)$
(2) $[-1, 2]$
(3) $[-1,\infty)$ Official answer
(4) $(-\infty, 2]$

Official answer

Option 3

NTA final key.

Chapter: Relations and Functions
Topic: Inverse Trig Domains
Idea tested: Domain of Rational Composite Inverse Trig

Same idea in other shifts

Asked 3× in all

28 Jul 2022, Shift 1 · Q2Considering only the principal values of the inverse trigonometric functions, the domain of the function…EasySingle correct
29 Jun 2022, Shift 1 · Q15The domain of the function $\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^2 - 1}\right)}{\pi}\right)$ is :MediumSingle 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.