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Saturday, 31 October

JEE Main · Maths · Conic Sections

Parameter relation t1*t2 = -1

JEE Main asked Parameter relation t1*t2 = -1 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2026. It belongs to Parabola Focal Chords, in Conic Sections (Maths). The longest wait between two years asking it was 6 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170.08’200’210’220’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 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: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 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.

  • Area of triangle with parabola focal chord
  • Tangent at end of focal chord

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

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. 5 Apr 2026, Shift 2 · Q12Let the directrix of the parabola P:y2=8xP: y^2=8x, cut x-axis at the point A. Let B(α,β)B(\alpha, \beta), α>1\alpha>1, be a point on P such that…MediumSingle correct
  2. 9 Jan 2020, Shift 2 · Q66If one end of a focal chord AB of the parabola y2=8xy^2=8x is at A(12,−2)A\left(\frac{1}{2},-2\right), then the equation of the tangent to it at B…MediumSingle correct

Shifts: 9 Jan 2020, Shift 2, 5 Apr 2026, Shift 2.

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