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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Tangents to Implicit Curves

JEE Main asked Tangents to Implicit Curves 3 times in 3 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Tangents and Normals, in Application of Derivatives (Maths). The longest wait between two years asking it was 2 years. 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 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170.17’200’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 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
  • 20221 of 24
  • 20210 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.

  • Tangent to implicit curve parallel to given line
  • Slope from normal intercept

Difficulty

Easy 0Medium 3Hard 0

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. 26 Jun 2022, Shift 1 · Q9Let S be the set of all natural numbers, for which the line xa+yb=2\frac{x}{a} + \frac{y}{b} = 2 is a tangent to the curve…MediumSingle correct
  2. 2 Sep 2020, Shift 1 · Q60If the tangent to the curve y=x+sin⁡yy=x+\sin y at a point (a,b)(a, b) is parallel to the line joining (0,32)\left(0, \frac{3}{2}\right) and…MediumSingle correct
  3. 8 Jan 2020, Shift 1 · Q74Let the normal at a point P on the curve y2−3x2+y+10=0y^2-3x^2+y+10=0 intersect the yy-axis at (0,32)\left(0,\frac{3}{2}\right). If m is the slope of…MediumNumerical value

Shifts: 8 Jan 2020, Shift 1, 2 Sep 2020, Shift 1, 26 Jun 2022, Shift 1.

Same topic

Other ideas in Tangents and Normals

Tangents and Normals has 20 ideas JEE Main has asked; 7 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas