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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Image of a Point

JEE Main asked Image of a Point 8 times in 8 of the 108 shifts Lumi analysed, in 2017, 2021, 2022 and 2023. It belongs to Point-Plane Distance, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 4 years, across 2018 and 2019, which Lumi has no shifts for. In 2021 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
8
in 8 shifts
Years
4 of 8
First asked
2017
last in 2023
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

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

00.510.86’170’200.10’210.11’220.07’230’240’250’26

Raw count: 2017: 1 in 1 shift · 2020: 0 in 12 shifts · 2021: 3 in 24 shifts · 2022: 3 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
  • 20223 of 24
  • 20213 of 24
  • 20200 of 12
  • 20171 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.

  • Image of point in plane
  • Distance to plane measured along a line

Difficulty

Easy 2Medium 6Hard 0

3 of the 8 questions had a numerical answer.

Every question

All 8 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 10 Apr 2023, Shift 1 · Q13Let two vertices of a triangle ABC be (2,4,6)(2,4,6) and (0,−2,−5)(0,-2,-5), and its centroid be (2,1,−1)(2,1,-1). If the image of the third vertex in the…MediumSingle correct
  2. 29 Jun 2022, Shift 1 · Q3If the mirror image of the point (2,4,7)(2, 4, 7) in the plane 3x−y+4z=23x - y + 4z = 2 is (a,b,c)(a, b, c), then 2a+b+2c2a + b + 2c is equal to :EasySingle correct
  3. 27 Jun 2022, Shift 1 · Q30Let the mirror image of the point (a,b,c)(a, b, c) with respect to the plane 3x−4y+12z+19=03x-4y+12z+19=0 be (a−6,β,γ)(a-6, \beta, \gamma). If a+b+c=5a+b+c=5, then…MediumNumerical value
  4. 25 Jun 2022, Shift 1 · Q17Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S : x+y+z=5x+y+z=5. If a line L passing through (1,−1,−1)(1,-1,-1),…MediumSingle correct
  5. 18 Mar 2021, Shift 2 · Q88Let the mirror image of the point (1,3,a)(1, 3, a) with respect to the plane r⃗⋅(2i^−j^+k^)−b=0\vec{r}\cdot\left(2\hat{i}-\hat{j}+\hat{k}\right)-b=0 be…MediumNumerical value
  6. 26 Feb 2021, Shift 2 · Q61If the mirror image of the point (1,3,5)(1, 3, 5) with respect to the plane 4x−5y+2z=84x-5y+2z=8 is (α,β,γ)(\alpha, \beta, \gamma), then…EasySingle correct
  7. 27 Aug 2021, Shift 2 · Q87Let S be the mirror image of the point Q(1,3,4)Q(1, 3, 4) with respect to the plane 2x−y+z+3=02x - y + z + 3 = 0 and let R(3,5,γ)R(3, 5, \gamma) be a point of…MediumNumerical value
  8. 2 Apr 2017 (offline) · Q83If the image of the point P(1,−2,3)P(1,-2,3) in the plane, 2x+3y−4z+22=02x+3y-4z+22=0 measured parallel to the line, x1=y4=z5\frac{x}{1}=\frac{y}{4}=\frac{z}{5}…MediumSingle correct

Shifts: 2 Apr 2017 (offline), 26 Feb 2021, Shift 2, 18 Mar 2021, Shift 2, 27 Aug 2021, Shift 2, 25 Jun 2022, Shift 1, 27 Jun 2022, Shift 1, 29 Jun 2022, Shift 1, 10 Apr 2023, Shift 1.

Same topic

Other ideas in Point-Plane Distance

Point-Plane Distance has 7 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas