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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Bisection of Bounded Areas

JEE Main asked Bisection of Bounded Areas 3 times in 3 of the 108 shifts Lumi analysed, in 2020 and 2021. It belongs to Area Under Curves, in Application of Integrals (Maths). The longest wait between two years asking it was 1 year. In 2020 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2020
last in 2021
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2021. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.17’200.03’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 1 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
  • 20211 of 24
  • 20202 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: multi-step.

  • Area bisected by line between parabolas
  • Slope of line bisecting area

Difficulty

Easy 0Medium 2Hard 1

1 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. 31 Aug 2021, Shift 2 · Q87If the line y=mxy = \mathrm{m}x bisects the area enclosed by the lines x=0x = 0, y=0y = 0, x=32x = \frac{3}{2} and the curve y=1+4x−x2y = 1+4x-x^2,…MediumNumerical value
  2. 2 Sep 2020, Shift 2 · Q62Consider a region R={(x, y)∈R2:x2≤y≤2x}R=\{(x,\ y)\in\mathbf{R}^2 : x^2\le y\le 2x\}. If a line y=αy=\alpha divides the area of region R into two equal parts,…MediumSingle correct
  3. 8 Jan 2020, Shift 1 · Q61For a>0a>0, let the curves C1:y2=axC_1: y^2=ax and C2:x2=ayC_2: x^2=ay intersect at origin O and a point P. Let the line x=bx=b (0<b<a0<b<a) intersect the…HardSingle correct

Shifts: 8 Jan 2020, Shift 1, 2 Sep 2020, Shift 2, 31 Aug 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