The range of $f(x)=4\sin^{-1}\left(\frac{x^2}{x^2+1}\right)$ is

JEE Main 2023 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 13 April 2023, Shift 2, Maths Q1

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

The range of

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

(1) $[0, \pi]$
(2) $[0, \pi)$
(3) $[0, 2\pi]$
(4) $[0, 2\pi)$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Inverse Trigonometric Functions
Topic: Functions and Domain
Idea tested: Range of Inverse Trigonometric Functions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.