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Saturday, 31 October

JEE Main · Maths · Conic Sections

Equation of focal chord

JEE Main asked Equation of focal chord 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2023. It belongs to Parabola Focal Chords, in Conic Sections (Maths). The longest wait between two years asking it was 1 year. In 2022 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
2022
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210.07’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 2 in 24 shifts · 2023: 1 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
  • 20231 of 12
  • 20222 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.

  • Eccentricity from shared focal chord of two conics
  • Chord length of parabola with centroid condition

Difficulty

Easy 0Medium 0Hard 3

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. 8 Apr 2023, Shift 1 · Q14Let RR be the focus of the parabola y2=20xy^2=20x and the line y=mx+cy=mx+c intersect the parabola at two points PP and QQ. Let the point…HardSingle correct
  2. 29 Jun 2022, Shift 1 · Q18Let PQ be a focal chord of the parabola y2=4xy^2 = 4x such that it subtends an angle of π2\frac{\pi}{2} at the point (3,0)(3, 0). Let the line…HardSingle correct
  3. 29 Jul 2022, Shift 1 · Q17Let the focal chord of the parabola P:y2=4xP : y^2 = 4x along the line L:y=mx+cL : y = mx + c, m>0m > 0 meet the parabola at the points M and N. Let…HardSingle correct

Shifts: 29 Jun 2022, Shift 1, 29 Jul 2022, Shift 1, 8 Apr 2023, Shift 1.

Same topic

Other ideas in Parabola Focal Chords

Parabola Focal Chords has 8 ideas JEE Main has asked; 3 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas