Learn

Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Image of a Point in a Plane

JEE Main asked Image of a Point in a Plane 5 times in 5 of the 108 shifts Lumi analysed, in 2020 and 2023. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 3 years. In 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
2 of 8
First asked
2020
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170.08’200’210’220.28’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 4 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
  • 20234 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.

  • Image of point in plane
  • Image of point in plane then area of triangle

Difficulty

Easy 0Medium 5Hard 0

2 of the 5 questions had a numerical answer.

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. 13 Apr 2023, Shift 1 · Q27Let the image of the point (53,53,83)\left(\frac{5}{3},\frac{5}{3},\frac{8}{3}\right) in the plane x−2y+z−2=0x-2y+z-2=0 be P. If the distance of the point…MediumNumerical value
  2. 11 Apr 2023, Shift 1 · Q2Let (α,β,γ)(\alpha, \beta, \gamma) be the image of the point P(2,3,5)P(2, 3, 5) in the plane 2x+y−3z=62x + y - 3z = 6. Then α+β+γ\alpha + \beta + \gamma is…MediumSingle correct
  3. 10 Apr 2023, Shift 2 · Q14Let the image of the point P(1,2,6)P(1, 2, 6) in the plane passing through the points A(1,2,0)A(1, 2, 0), B(1,4,1)B(1, 4, 1) and C(0,5,1)C(0, 5, 1) be…MediumSingle correct
  4. 6 Apr 2023, Shift 1 · Q30Let the image of the point (1,2,3)(1,2,3) in the plane 2x−y+z=92x-y+z=9 be Q. If the coordinates of the point R are (6,10,7)(6,10,7), then the square of…MediumNumerical value
  5. 8 Jan 2020, Shift 2 · Q66The mirror image of the point (1,2,3)(1, 2, 3) in a plane is (−73,−43,−13)\left(-\frac{7}{3}, -\frac{4}{3}, -\frac{1}{3}\right). Which of the following…MediumSingle correct

Shifts: 8 Jan 2020, Shift 2, 6 Apr 2023, Shift 1, 10 Apr 2023, Shift 2, 11 Apr 2023, Shift 1, 13 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