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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Plane Perpendicular to Two Planes

JEE Main asked Plane Perpendicular to Two Planes 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2022 and 2023. It belongs to Planes in 3D, in Three Dimensional Geometry (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
4
in 4 shifts
Years
3 of 8
First asked
2021
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210.07’220.07’230’240’250’26

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

  • Plane perpendicular to two planes
  • Plane perpendicular to two planes and distance

Difficulty

Easy 1Medium 3Hard 0

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. 11 Apr 2023, Shift 1 · Q8If equation of the plane that contains the point (−2,3,5)(-2, 3, 5) and is perpendicular to each of the planes 2x+4y+5z=82x + 4y + 5z = 8 and…MediumSingle correct
  2. 28 Jun 2022, Shift 2 · Q16Let the plane ax+by+cz=dax+by+cz=d pass through (2,3,−5)(2, 3, -5) and is perpendicular to the planes 2x+y−5z=102x+y-5z=10 and 3x+5y−7z=123x+5y-7z=12. If a, b, c, d are…MediumSingle correct
  3. 25 Jul 2022, Shift 2 · Q15A plane EE is perpendicular to the two planes 2x−2y+z=02x-2y+z=0 and x−y+2z=4x-y+2z=4, and passes through the point P(1,−1,1)P(1,-1,1). If the distance of…MediumSingle correct
  4. 24 Feb 2021, Shift 1 · Q76The equation of the plane passing through the point (1,2,−3)(1, 2, -3) and perpendicular to the planes 3x+y−2z=53x + y - 2z = 5 and 2x−5y−z=72x - 5y - z = 7,…EasySingle correct

Shifts: 24 Feb 2021, Shift 1, 28 Jun 2022, Shift 2, 25 Jul 2022, Shift 2, 11 Apr 2023, Shift 1.

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