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Saturday, 31 October

JEE Main · Maths · Differential Equations

Curves from Area Properties

JEE Main asked Curves from Area Properties 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to Area Under Curves, in Differential Equations (Maths). The longest wait between two years asking it was 2 years. In 2022 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
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.

00.050.10’170’200’210.07’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 2 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
  • 20222 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

Diagram based is the usual form. Skill tested: multi-step.

  • Identify differential equation from family of curves
  • Curve from area condition then normal

Difficulty

Easy 0Medium 0Hard 3

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. 8 Apr 2024, Shift 1 · Q12Let f(x)f(x) be a positive function such that the area bounded by y=f(x)y=f(x), y=0y=0 from x=0x=0 to x=a>0x=a>0 is e−a+4a2+a−1e^{-a}+4a^2+a-1. Then the…HardSingle correct
  2. 27 Jul 2022, Shift 2 · Q10Consider a curve y=y(x)y = y(x) in the first quadrant as shown in the figure. Let the area A1A_1 is twice the area A2A_2. Then the normal to…HardDiagram basedHas a figure
  3. 26 Jul 2022, Shift 1 · Q27Let a curve y=y(x)y = y(x) pass through the point (3, 3)(3,\ 3) and the area of the region under this curve, above the xx-axis and between the…HardNumerical value

Shifts: 26 Jul 2022, Shift 1, 27 Jul 2022, Shift 2, 8 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