Learn

Saturday, 31 October

JEE Main · Maths · Application of Integrals

Area Between Two Standard Parabolas

JEE Main asked Area Between Two Standard Parabolas 6 times in 6 of the 108 shifts Lumi analysed, in 2021, 2022, 2024 and 2026. It belongs to Area Under Curves, in Application of Integrals (Maths). The longest wait between two years asking it was 2 years. In 2022 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
2021
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210.07’220’230.09’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20250 of 8
  • 20242 of 18
  • 20230 of 12
  • 20222 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

Single correct is the usual form. Skill tested: calculation.

  • Area enclosed between two curves
  • Area bounded by two curves

Difficulty

Easy 3Medium 2Hard 1

2 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. 4 Apr 2026, Shift 2 · Q18The area of the region bounded by the curves x+3y2=0x+3y^2=0 and x+4y2=1x+4y^2=1 is equal to:EasySingle correct
  2. 1 Feb 2024, Shift 2 · Q26The sum of squares of all possible values of kk, for which area of the region bounded by the parabolas 2y2=kx2y^2=kx and ky2=2(y−x)ky^2=2(y-x) is…HardNumerical value
  3. 5 Apr 2024, Shift 1 · Q27The area of the region enclosed by the parabolas y=x2−5xy=x^2-5x and y=7x−x2y=7x-x^2 is ________.EasyNumerical value
  4. 26 Jun 2022, Shift 2 · Q7The area of the region bounded by y2=8xy^2 = 8x and y2=16(3−x)y^2 = 16(3 - x) is equal to:MediumSingle correct
  5. 25 Jun 2022, Shift 2 · Q6The area of the region enclosed between the parabolas y2=2x−1y^2 = 2x - 1 and y2=4x−3y^2 = 4x - 3 isMediumSingle correct
  6. 24 Feb 2021, Shift 2 · Q80The area of the region : R = {(x, y) : 5x2≤y≤2x2+95x^2\leq y\leq2x^2+9} is :EasySingle correct

Shifts: 24 Feb 2021, Shift 2, 25 Jun 2022, Shift 2, 26 Jun 2022, Shift 2, 1 Feb 2024, Shift 2, 5 Apr 2024, Shift 1, 4 Apr 2026, 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