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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Regions with Multiple Bounding Curves

JEE Main asked Regions with Multiple Bounding Curves 3 times in 3 of the 108 shifts Lumi analysed, in 2021, 2023 and 2024. It belongs to Area Under Curves, in Application of Integrals (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20231 of 12
  • 20220 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, line and axes
  • Area of region defined by inequalities

Difficulty

Easy 0Medium 2Hard 1

2 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 30 Jan 2024, Shift 2 · Q26The area of the region enclosed by the parabola (y−2)2=x−1(y-2)^2 = x - 1, the line x−2y+4=0x - 2y + 4 = 0 and the positive coordinate axes is ________.MediumNumerical value
  2. 8 Apr 2023, Shift 1 · Q12The area of the region {(x,y):x2≤y≤8−x2, y≤7}\{(x,y):x^2\le y\le 8-x^2,\ y\le 7\} isMediumSingle correct
  3. 22 Jul 2021, Shift 2 · Q83The area (in sq. units) of the region bounded by the curves x2+2y−1=0x^2+2y-1=0, y2+4x−4=0y^2+4x-4=0 and y2−4x−4=0y^2-4x-4=0, in the upper half plane is…HardNumerical value

Shifts: 22 Jul 2021, Shift 2, 8 Apr 2023, Shift 1, 30 Jan 2024, 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