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Saturday, 31 October

JEE Main · Maths · Application of Integrals

Area Between Parabola and Line

JEE Main asked Area Between Parabola and Line 6 times in 6 of the 108 shifts Lumi analysed, in 2020, 2021, 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. In 2021 and 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
4 of 8
First asked
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.07’210.04’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 2 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 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
  • 20242 of 18
  • 20230 of 12
  • 20221 of 24
  • 20212 of 24
  • 20201 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 between curves
  • Area between parabola and line

Difficulty

Easy 3Medium 3Hard 0

3 of the 6 questions had a numerical answer.

Every question

All 6 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 1 · Q11The area (in square units) of the region bounded by the parabola y2=4(x−2)y^2=4(x-2) and the line y=2x−8y=2x-8, is :MediumSingle correct
  2. 4 Apr 2024, Shift 2 · Q11The area (in sq. units) of the region described by {(x,y):y2≤2x, and y≥4x−1}\{(x,y): y^2\le 2x,\ \text{and}\ y\ge 4x-1\} isMediumSingle correct
  3. 24 Jun 2022, Shift 2 · Q26The area (in sq. units) of the region enclosed between the parabola y2=2xy^2 = 2x and the line x+y=4x + y = 4 is ____.EasyNumerical value
  4. 26 Aug 2021, Shift 1 · Q85The area of the region S={(x,y):3x2≤4y≤6x+24}=\{(x, y) : 3x^2 \leq 4y \leq 6x+24\} is __________.MediumNumerical value
  5. 3 Aug 2021, Shift 1 · Q87If the area of the region enclosed by the curve y=x2y = x^2 and the line y=axy = ax is 36 sq. units, then ∣a∣|a| is equal to ________.EasyNumerical value
  6. 8 Jan 2020, Shift 2 · Q62The area (in sq. units) of the region {(x,y)∈R2:x2≤y≤3−2x}\{(x, y) \in \mathbf{R}^2 : x^2 \leq y \leq 3 - 2x\}, is :EasySingle correct

Shifts: 8 Jan 2020, Shift 2, 3 Aug 2021, Shift 1, 26 Aug 2021, Shift 1, 24 Jun 2022, Shift 2, 30 Jan 2024, Shift 1, 4 Apr 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