Learn

Saturday, 31 October

JEE Main · Maths · Conic Sections

Tangent to General Conic (T=0)

JEE Main asked Tangent to General Conic (T=0) 6 times in 6 of the 108 shifts Lumi analysed, in 2020, 2021 and 2022. It belongs to General Conic Section, in Conic Sections (Maths). The longest wait between two years asking it was 1 year. In 2021 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
3 of 8
First asked
2020
last in 2022
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170.08’200.07’210.11’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 2 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
  • 20223 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

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

  • Locus then tangent intercepts
  • Tangent to parabola through given point

Difficulty

Easy 1Medium 4Hard 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. 30 Jul 2022, Shift 2 · Q86Let A (0,a+2)A\,(0, a+2), B (0,a)B\,(0, a), C (−2,0)C\,(-2, 0) and D (2,0)D\,(2, 0) be four points and the lines ADAD and BCBC intersect at P (x,y)P\,(x, y). If the…MediumNumerical value
  2. 27 Jul 2022, Shift 1 · Q11Let P(a,b)P(a, b) be a point on the parabola y2=8xy^2 = 8x such that the tangent at PP passes through the centre of the circle…MediumSingle correct
  3. 25 Jul 2022, Shift 2 · Q13The tangents at the points A(1,3)A(1,3) and B(1,−1)B(1,-1) on the parabola y2−2x−2y=1y^2-2x-2y=1 meet at the point PP. Then the area (in unit2^2) of the…MediumSingle correct
  4. 24 Feb 2021, Shift 2 · Q64For which of the following curves, the line x+3y=23x+\sqrt{3}y=2\sqrt{3} is the tangent at the point…EasySingle correct
  5. 26 Aug 2021, Shift 2 · Q72The point P(−26,3)\mathrm{P}(-2\sqrt{6},\sqrt{3}) lies on the hyperbola x2a2−y2b2=1\frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{b}^2}=1 having…HardSingle correct
  6. 8 Jan 2020, Shift 2 · Q74Let a line y=mxy = mx (m>0)(\mathrm{m} > 0) intersect the parabola, y2=xy^2 = x at a point P, other than the origin. Let the tangent to it at P…MediumNumerical value

Shifts: 8 Jan 2020, Shift 2, 24 Feb 2021, Shift 2, 26 Aug 2021, Shift 2, 25 Jul 2022, Shift 2, 27 Jul 2022, Shift 1, 30 Jul 2022, Shift 2.

Same topic

Other ideas in General Conic Section

General Conic Section has 16 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