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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Area Involving Max/Min Functions

JEE Main asked Area Involving Max/Min Functions 8 times in 8 of the 108 shifts Lumi analysed, in 2021, 2022, 2023, 2024, 2025 and 2026. It belongs to Area Under Curves, in Application of Integrals (Maths). The longest wait between two years asking it was 1 year. In 2023 and 2025 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
8
in 8 shifts
Years
6 of 8
First asked
2021
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023, 2024, 2025 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170’200.03’210.04’220.14’230.05’240.25’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 2 in 12 shifts · 2024: 1 in 18 shifts · 2025: 2 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
  • 20252 of 8
  • 20241 of 18
  • 20232 of 12
  • 20221 of 24
  • 20211 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 bounded by parabola and min of lines
  • Area bounded by curves with modulus

Difficulty

Easy 0Medium 6Hard 2

4 of the 8 questions had a numerical answer.

Every question

All 8 questions

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

  1. 4 Apr 2026, Shift 1 · Q18The area of the region {(x,y):y≤π−∣x∣, y≤∣xsin⁡x∣, y≥0}\{(x,y): y\le\pi-|x|,\ y\le|x\sin x|,\ y\ge0\} is:HardSingle correct
  2. 7 Apr 2025, Shift 2 · Q20If the area of the region {(x,y):1+x2≤y≤min⁡{x+7, 11−3x}}\{(x,y): 1+x^2\le y\le \min\{x+7,\ 11-3x\}\} is AA, then 3A3A is equal toMediumSingle correct
  3. 3 Apr 2025, Shift 1 · Q25The area of the region bounded by the curve y=max⁡{∣x∣,x∣x−2∣}y = \max\{|x|, x|x-2|\}, the xx-axis and the lines x=−2x = -2 and x=4x = 4 is equal to ______MediumNumerical value
  4. 8 Apr 2024, Shift 1 · Q27Let the area of the region enclosed by the curve y=min⁡{sin⁡x,cos⁡x}y=\min\{\sin x,\cos x\} and the xx-axis between x=−πx=-\pi to x=πx=\pi be AA. Then A2A^2…MediumNumerical value
  5. 13 Apr 2023, Shift 1 · Q12The area of the region enclosed by the curve f(x)=max⁡{sin⁡x,cos⁡x}f(x)=\max\{\sin x,\cos x\}, −π≤x≤π-\pi\leq x\leq\pi and the xx-axis isMediumSingle correct
  6. 8 Apr 2023, Shift 2 · Q27Let the area enclosed by the lines x+y=2x + y = 2, y=0y = 0, x=0x = 0 and the curve f(x)=min⁡{x2+34,1+[x]}f(x) = \min\left\{x^2 + \frac{3}{4}, 1 + [x]\right\}…HardNumerical value
  7. 25 Jul 2022, Shift 1 · Q8The area of the region given by A={(x,y):x2≤y≤min⁡{x+2, 4−3x}}A=\{(x,y):x^2\le y\le\min\{x+2,\,4-3x\}\} is :MediumSingle correct
  8. 17 Mar 2021, Shift 2 · Q87Let f:[−3,1]→Rf:[-3, 1]\to\mathbf{R} be given as…MediumNumerical value

Shifts: 17 Mar 2021, Shift 2, 25 Jul 2022, Shift 1, 8 Apr 2023, Shift 2, 13 Apr 2023, Shift 1, 8 Apr 2024, Shift 1, 3 Apr 2025, Shift 1, 7 Apr 2025, Shift 2, 4 Apr 2026, Shift 1.

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