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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Perpendicular Bisector Plane

JEE Main asked Perpendicular Bisector Plane 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2021 and 2022. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 1 year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2020
last in 2022
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.03’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 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
  • 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: application.

  • Perpendicular bisector plane coefficients
  • Angle between plane and given plane

Difficulty

Easy 2Medium 1Hard 0

1 of the 3 questions had a numerical answer.

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. 24 Jun 2022, Shift 2 · Q15Let the points on the plane P be equidistant from the points (−4,2,1)(-4, 2, 1) and (2,−2,3)(2, -2, 3). Then the acute angle between the plane P and…MediumSingle correct
  2. 18 Mar 2021, Shift 1 · Q85Let the plane ax+by+cz+d=0ax+by+cz+d=0 bisect the line joining the points (4,−3,1)(4,-3,1) and (2,3,−5)(2,3,-5) at the right angles. If a, b, c, d are integers,…EasyNumerical value
  3. 3 Sep 2020, Shift 2 · Q66The plane which bisects the line joining the points (4,−2,3)(4, -2, 3) and (2,4,−1)(2, 4, -1) at right angles also passes through the point :EasySingle correct

Shifts: 3 Sep 2020, Shift 2, 18 Mar 2021, Shift 1, 24 Jun 2022, Shift 2.

Same topic

Other ideas in Planes in 3D

Planes in 3D has 22 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas