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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Domain of Inverse Trig with Log/Exp Arguments

JEE Main asked Domain of Inverse Trig with Log/Exp Arguments once in the 108 shifts Lumi analysed, on 4 Apr 2025, Shift 2. It belongs to Inverse Trig Domains, in Inverse Trigonometric Functions (Maths).

Updated 2026-10-24

Times asked
1
in 1 shift
Years
1 of 8
First asked
2025
the only year
Pattern
New since 2024
asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20251 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Domains of nested log and inverse trig functions

Difficulty

Easy 0Medium 1Hard 0

The question was multiple choice.

Every question

The question

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 4 Apr 2025, Shift 2 · Q1Let the domains of the functions f(x)=log⁡4log⁡3log⁡7(8−log⁡2(x2+4x+5))f(x)=\log_4\log_3\log_7(8-\log_2(x^2+4x+5)) and g(x)=sin⁡−1(7x+10x−2)g(x)=\sin^{-1}\left(\frac{7x+10}{x-2}\right) be…MediumSingle correct

Shift: 4 Apr 2025, Shift 2.

Same topic

Other ideas in Inverse Trig Domains

Inverse Trig Domains has 8 ideas JEE Main has asked; 3 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas