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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Area with Modulus

JEE Main asked Area with Modulus 7 times in 7 of the 108 shifts Lumi analysed, in 2022, 2023, 2024 and 2025. It belongs to Area Under Curves, in Application of Integrals (Maths). The longest wait between two years asking it was 1 year. In 2022 and 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
7
in 7 shifts
Years
4 of 8
First asked
2022
last in 2025
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200’210.11’220.14’230.05’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 3 in 24 shifts · 2023: 2 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20232 of 12
  • 20223 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: calculation.

  • Area bounded by modulus curve and line
  • Area of region with modulus bound

Difficulty

Easy 1Medium 5Hard 1

2 of the 7 questions had a numerical answer.

Every question

All 7 questions

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

  1. 2 Apr 2025, Shift 1 · Q21If the area of the region {(x,y):∣4−x2∣≤y≤x2, y≤4, x≥0}\left\{(x, y): \left|4-x^2\right|\le y\le x^2,\ y\le4,\ x\ge0\right\} is…HardNumerical value
  2. 5 Apr 2024, Shift 2 · Q12The area enclosed between the curves y=x∣x∣y = x|x| and y=x−∣x∣y = x - |x| is :MediumSingle correct
  3. 10 Apr 2023, Shift 2 · Q26If the area of the region {(x,y):∣x2−2∣≤y≤x}\{(x, y) : |x^2 - 2| \leq y \leq x\} is A, then 6A+1626A + 16\sqrt{2} is equal to ______.MediumNumerical value
  4. 6 Apr 2023, Shift 2 · Q14The area bounded by the curves y=∣x−1∣+∣x−2∣y=|x-1|+|x-2| and y=3y=3 is equal toEasySingle correct
  5. 28 Jun 2022, Shift 2 · Q9The area of the bounded region enclosed by the curve y=3−∣x−12∣−∣x+1∣y=3-\left|x-\frac{1}{2}\right|-|x+1| and the xx-axis is :MediumSingle correct
  6. 29 Jul 2022, Shift 1 · Q16The area of the region {(x,y):∣x−1∣≤y≤5−x2}\{(x, y) : |x - 1| \leq y \leq \sqrt{5 - x^2}\} is equal to :MediumSingle correct
  7. 26 Jul 2022, Shift 2 · Q20The area bounded by the curves y=∣x2−1∣y=|x^2-1| and y=1y=1 isMediumSingle correct

Shifts: 28 Jun 2022, Shift 2, 26 Jul 2022, Shift 2, 29 Jul 2022, Shift 1, 6 Apr 2023, Shift 2, 10 Apr 2023, Shift 2, 5 Apr 2024, Shift 2, 2 Apr 2025, 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