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Saturday, 31 October

JEE Main · Maths · Differential Equations

Geometric Applications

JEE Main asked Geometric Applications 3 times in 2 of the 108 shifts Lumi analysed, all in 2022. It belongs to Variable Separable Form, in Differential Equations (Maths). In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 2 shifts
Years
1 of 8
First asked
2022
the only year
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200’210.11’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 3 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
  • 202222 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

Single correct is the usual form. Skill tested: multi-step.

  • Curve from tangent slope condition
  • Form and solve differential equation from geometry

Difficulty

Easy 0Medium 2Hard 1

Every question was multiple choice.

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. 24 Jun 2022, Shift 2 · Q8A particle is moving in the xyxy-plane along a curve CC passing through the point (3,3)(3, 3). The tangent to the curve CC at the point PP…MediumSingle correct
  2. 24 Jun 2022, Shift 2 · Q19The slope of normal at any point (x,y)(x, y), x>0x > 0, y>0y > 0 on the curve y=y(x)y = y(x) is given by x2xy−x2y2−1\frac{x^2}{xy - x^2y^2 - 1}. If the…HardSingle correct
  3. 25 Jul 2022, Shift 2 · Q11Let a smooth curve y=f(x)y=f(x) be such that the slope of the tangent at any point (x,y)(x,y) on it is directly proportional to…MediumSingle correct

Shifts: 24 Jun 2022, Shift 2, 25 Jul 2022, Shift 2.

Same topic

Other ideas in Variable Separable Form

Variable Separable Form has 17 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas