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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Plane Containing a Line and a Point

JEE Main asked Plane Containing a Line and a Point 5 times in 5 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 2021 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 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.

00.050.10’170’200.07’210.07’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 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
  • 20212 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.

  • Image of point in plane through line and point
  • Plane through line perpendicular to plane, distance

Difficulty

Easy 1Medium 1Hard 3

Every question was multiple choice.

Every question

All 5 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 2 · Q13Let PP be the plane passing through the line x−11=y−2−3=z+57\frac{x-1}{1} = \frac{y-2}{-3} = \frac{z+5}{7} and the point (2,4,−3)(2, 4, -3). If the image of…MediumSingle correct
  2. 29 Jun 2022, Shift 2 · Q14Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane x+2y+2z=16x + 2y + 2z = 16. Let T be a plane passing through the point…HardSingle correct
  3. 25 Jul 2022, Shift 1 · Q14Let PP be the plane containing the straight line x−39=y+4−1=z−7−5\frac{x-3}{9}=\frac{y+4}{-1}=\frac{z-7}{-5} and perpendicular to the plane containing…HardSingle correct
  4. 17 Mar 2021, Shift 2 · Q77If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line…HardSingle correct
  5. 17 Mar 2021, Shift 1 · Q76The equation of the plane which contains the yy-axis and passes through the point (1,2,3)(1, 2, 3) is :EasySingle correct

Shifts: 17 Mar 2021, Shift 2, 17 Mar 2021, Shift 1, 29 Jun 2022, Shift 2, 25 Jul 2022, Shift 1, 8 Apr 2023, 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