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Saturday, 31 October

JEE Main · Maths · Conic Sections

Focus-Directrix Form Extraction

JEE Main asked Focus-Directrix Form Extraction 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2022 and 2025. It belongs to General Conic Section, in Conic Sections (Maths). The longest wait between two years asking it was 3 years. In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2021
last in 2025
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.03’210.07’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
  • 20251 of 8
  • 20240 of 18
  • 20230 of 12
  • 20222 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

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

  • Points on parabola from focus and directrix
  • Equation of parabola from vertex and directrix

Difficulty

Easy 0Medium 3Hard 1

Every question was multiple choice.

Every question

All 4 questions

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

  1. 7 Apr 2025, Shift 1 · Q10Let P be the parabola, whose focus is (−2,1)(-2, 1) and directrix is 2x+y+2=02x + y + 2 = 0. Then the sum of the ordinates of the points on P, whose…MediumSingle correct
  2. 27 Jun 2022, Shift 2 · Q11If the equation of the parabola, whose vertex is at (5,4)(5, 4) and the directrix is 3x+y−29=03x+y-29=0, is x2+ay2+bxy+cx+dy+k=0x^2+ay^2+bxy+cx+dy+k=0, then…MediumSingle correct
  3. 25 Jun 2022, Shift 1 · Q19Let x=2tx=2t, y=t23y=\frac{t^2}{3} be a conic. Let S be the focus and B be the point on the axis of the conic such that SA⊥BASA\perp BA, where A…HardSingle correct
  4. 24 Feb 2021, Shift 1 · Q74The locus of the mid-point of the line segment joining the focus of the parabola y2=4axy^2 = 4ax to a moving point of the parabola, is another…MediumSingle correct

Shifts: 24 Feb 2021, Shift 1, 25 Jun 2022, Shift 1, 27 Jun 2022, Shift 2, 7 Apr 2025, Shift 1.

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