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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Parabola Normal Point Form

JEE Main asked Parabola Normal Point Form 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2022. It belongs to Normals to Conics, in Application of Derivatives (Maths). The longest wait between two years asking it was 1 year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 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
  • 20211 of 24
  • 20200 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: multi-step.

  • Normal intercepts of parabola from tangent condition
  • Square from tangent normal and directrix of parabola

Difficulty

Easy 0Medium 1Hard 1

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 26 Jul 2022, Shift 1 · Q29Let the function f(x)=2x2−log⁡exf(x) = 2x^2 - \log_e x, x>0x > 0, be decreasing in (0, a)(0,\ \mathrm{a}) and increasing in (a, 4)(\mathrm{a},\ 4). A tangent to…HardNumerical value
  2. 27 Aug 2021, Shift 1 · Q70A tangent and a normal are drawn at the point P(2,−4)P(2, -4) on the parabola y2=8xy^2=8x, which meet the directrix of the parabola at the points…MediumSingle correct

Shifts: 27 Aug 2021, Shift 1, 26 Jul 2022, Shift 1.

Same topic

Other ideas in Normals to Conics

Normals to Conics has 7 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas