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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Area Between Trigonometric Curves

JEE Main asked Area Between Trigonometric Curves 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Area Under Curves, in Application of Integrals (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

Numerical value is the usual form. Skill tested: calculation.

  • Area between trigonometric curves and axes
  • Area enclosed between two curves

Difficulty

Easy 0Medium 2Hard 0

1 of the 2 questions had a numerical answer.

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. 26 Feb 2021, Shift 2 · Q63Let A1A_1 be the area of the region bounded by the curves y=sin⁡xy=\sin x, y=cos⁡xy=\cos x and yy-axis in the first quadrant. Also, let A2A_2 be…MediumSingle correct
  2. 25 Feb 2021, Shift 1 · Q88The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection,…MediumNumerical value

Shifts: 25 Feb 2021, Shift 1, 26 Feb 2021, Shift 2.

Same topic

Other ideas in Area Under Curves

Area Under Curves has 24 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas