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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Intersection Point of Line and Plane

JEE Main asked Intersection Point of Line and Plane 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2022. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 1 year. In 2021 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 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.07’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20221 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: calculation.

  • Line-plane intersection point
  • Distance of origin from line-plane intersection

Difficulty

Easy 1Medium 1Hard 1

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. 27 Jul 2022, Shift 1 · Q23Let the line x−37=y−2−1=z−3−4\dfrac{x-3}{7} = \dfrac{y-2}{-1} = \dfrac{z-3}{-4} intersect the plane containing the lines…HardNumerical value
  2. 24 Feb 2021, Shift 1 · Q77The distance of the point (1,1,9)(1, 1, 9) from the point of intersection of the line x−31=y−42=z−52\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2} and…EasySingle correct
  3. 3 Aug 2021, Shift 1 · Q75The distance of the origin from the point of intersection of the line, x2=y+13=z−1−1\frac{x}{2} = \frac{y + 1}{3} = \frac{z - 1}{-1} and the plane,…MediumSingle correct

Shifts: 24 Feb 2021, Shift 1, 3 Aug 2021, Shift 1, 27 Jul 2022, 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