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Saturday, 31 October

JEE Main · Maths · Conic Sections

Ellipse Normal Point Form

JEE Main asked Ellipse Normal Point Form 3 times in 3 of the 108 shifts Lumi analysed, in 2017 and 2020. It belongs to Normals to Conics, in Conic Sections (Maths). The longest wait between two years asking it was 3 years, across 2018 and 2019, which Lumi has no shifts for. 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
2017
last in 2020
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

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

00.510.86’170.17’200’210’220’230’240’250’26

Raw count: 2017: 1 in 1 shift · 2020: 2 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 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
  • 20220 of 24
  • 20210 of 24
  • 20202 of 12
  • 20171 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.

  • Normal to ellipse from eccentricity and directrix
  • Intercept of normal to ellipse at point

Difficulty

Easy 0Medium 3Hard 0

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. 4 Sep 2020, Shift 2 · Q66Let x=4x=4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is 12\frac{1}{2}. If P(1, β\beta), β>0\beta > 0…MediumSingle correct
  2. 8 Jan 2020, Shift 1 · Q64Let the line y=mxy=mx and the ellipse 2x2+y2=12x^2+y^2=1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets…MediumSingle correct
  3. 2 Apr 2017 (offline) · Q80The eccentricity of an ellipse whose centre is at the origin is 12\frac{1}{2}. If one of its directrices is x=−4x=-4, then the equation of…MediumSingle correct

Shifts: 2 Apr 2017 (offline), 8 Jan 2020, Shift 1, 4 Sep 2020, Shift 2.

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