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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Ratio of Divided Areas

JEE Main asked Ratio of Divided Areas 2 times in 2 of the 108 shifts Lumi analysed, in 2022 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
2
in 2 shifts
Years
2 of 8
First asked
2022
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200’210.04’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20221 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

Numerical value is the usual form. Skill tested: multi-step.

  • Area of smaller part cut from circle
  • Ratio of areas split by curve

Difficulty

Easy 0Medium 1Hard 1

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. 9 Apr 2024, Shift 1 · Q9The parabola y2=4xy^2=4x divides the area of the circle x2+y2=5x^2+y^2=5 in two parts. The area of the smaller part is equal to :MediumSingle correct
  2. 24 Jun 2022, Shift 1 · Q29Let S be the region bounded by the curves y=x3y=x^3 and y2=xy^2=x. The curve y=2∣x∣y=2|x| divides S into two regions of areas R1R_1 and R2R_2. If…HardNumerical value

Shifts: 24 Jun 2022, Shift 1, 9 Apr 2024, 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