Learn

Saturday, 31 October

JEE Main · Maths · Continuity and Differentiability

Modulus Traps in Trigonometric Functions

JEE Main asked Modulus Traps in Trigonometric Functions 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2026. It belongs to Continuity and Differentiability (Maths). The longest wait between two years asking it was 6 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200’210’220’230’240’250.11’26

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

Shift by shift

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

  • 20261 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 of 24
  • 20201 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: application.

  • Statement i/ii on differentiability and monotonicity
  • True statement on derivative of modulus-trig 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. 8 Apr 2026, Shift 2 · Q13For the function f(x)=esin⁡∣x∣−∣x∣f(x) = \mathrm{e}^{\sin|x|} - |x|, x∈Rx \in \mathbf{R}, consider the following statements : Statement I : ff is…MediumTwo statements
  2. 8 Jan 2020, Shift 1 · Q58Let f(x)=xcos⁡−1(−sin⁡∣x∣)f(x)=x\cos^{-1}(-\sin|x|), x∈[−π2,π2]x\in\left[-\frac{\pi}{2},\frac{\pi}{2}\right], then which of the following is true ?HardSingle correct

Shifts: 8 Jan 2020, Shift 1, 8 Apr 2026, Shift 2.

Same topic

Other ideas in Continuity and Differentiability

Continuity and Differentiability has 18 ideas JEE Main has asked; 13 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas