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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Distance from Point

JEE Main asked Distance from Point 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2023. It belongs to Point-Plane Distance, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 2 years. In 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2021
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210’220.14’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 2 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
  • 20232 of 12
  • 20220 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: multi-step.

  • Distance of point from plane from traces
  • Distance of point from line after equal-distance condition

Difficulty

Easy 0Medium 3Hard 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. 10 Apr 2023, Shift 1 · Q14Let P be the point of intersection of the line x+33=y+21=1−z2\frac{x+3}{3}=\frac{y+2}{1}=\frac{1-z}{2} and the plane x+y+z=2x+y+z=2. If the distance of the…MediumSingle correct
  2. 8 Apr 2023, Shift 1 · Q28Let λ1,λ2\lambda_1,\lambda_2 be the values of λ\lambda for which the points (52,1,λ)\left(\frac{5}{2},1,\lambda\right) and (−2,0,1)(-2,0,1) are at equal…MediumNumerical value
  3. 3 Aug 2021, Shift 2 · Q77A plane intersects the yzyz-plane at x=0, 2y−3z=5x = 0,\ 2y - 3z = 5 and it intersects the xyxy-plane at z=0, 7x+4y=10z = 0,\ 7x + 4y = 10. Then the distance…MediumSingle correct

Shifts: 3 Aug 2021, Shift 2, 8 Apr 2023, 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