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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Plane Containing Two Lines

JEE Main asked Plane Containing Two Lines 4 times in 4 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 2 years. In 2020 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
2 of 8
First asked
2020
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.17’200’210.07’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 0 in 24 shifts · 2022: 2 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
  • 20222 of 24
  • 20210 of 24
  • 20202 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Parameter from distance to plane through two lines
  • Coplanar lines then plane distance

Difficulty

Easy 0Medium 3Hard 1

2 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 26 Jun 2022, Shift 2 · Q15If the lines r⃗=(i^−j^+k^)+λ(3j^−k^)\vec{r} = (\hat{i} - \hat{j} + \hat{k}) + \lambda(3\hat{j} - \hat{k}) and…MediumSingle correct
  2. 26 Jul 2022, Shift 2 · Q22The largest value of aa, for which the perpendicular distance of the plane containing the lines…HardNumerical value
  3. 3 Sep 2020, Shift 2 · Q75Let a plane P contain two lines r⃗=i^+λ(i^+j^)\vec{r} = \hat{i} + \lambda(\hat{i} + \hat{j}), λ∈R\lambda \in \mathbf{R} and…MediumNumerical value
  4. 2 Sep 2020, Shift 2 · Q67A plane passing through the point (3, 1, 1)(3,\,1,\,1) contains two lines whose direction ratios are 1, −2, 21,\,-2,\,2 and 2, 3, −12,\,3,\,-1 respectively.…MediumSingle correct

Shifts: 2 Sep 2020, Shift 2, 3 Sep 2020, Shift 2, 26 Jun 2022, Shift 2, 26 Jul 2022, 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