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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Domain Intersection of Multiple Inverse Trig Functions

JEE Main asked Domain Intersection of Multiple Inverse Trig Functions 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Inverse Trig Domains, in Inverse Trigonometric Functions (Maths). In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20212 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.

  • Domain of inverse trig with rational argument
  • Domain of inverse trig composite function

Difficulty

Easy 0Medium 1Hard 1

Every question was multiple choice.

Every question

All 2 questions

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

  1. 22 Jul 2021, Shift 2 · Q61If the domain of the function f(x)=cos⁡−1x2−x+1sin⁡−1(2x−12)f(x)=\frac{\cos^{-1}\sqrt{x^2-x+1}}{\sqrt{\sin^{-1}\left(\frac{2x-1}{2}\right)}} is the interval…MediumSingle correct
  2. 31 Aug 2021, Shift 2 · Q79The domain of the function f(x)=sin⁡−1(3x2+x−1(x−1)2)+cos⁡−1(x−1x+1)f(x) = \sin^{-1}\left(\frac{3x^2+x-1}{(x-1)^2}\right)+\cos^{-1}\left(\frac{x-1}{x+1}\right) is :HardSingle correct

Shifts: 22 Jul 2021, Shift 2, 31 Aug 2021, 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