Learn

Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Plane Through Point Parallel to Two Vectors

JEE Main asked Plane Through Point Parallel to Two Vectors 2 times in 2 of the 108 shifts Lumi analysed, all in 2022. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2022
the only year
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200’210.07’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 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
  • 20200 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.

  • Intercepts and volume of plane through point
  • Plane through intersection parallel to two lines

Difficulty

Easy 0Medium 2Hard 0

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 25 Jun 2022, Shift 1 · Q28Let the lines L1\mathrm{L_1} : r⃗=λ(i^+2j^+3k^)\vec{r}=\lambda\left(\hat{i}+2\hat{j}+3\hat{k}\right), λ∈R\lambda\in\mathbf{R} L2\mathrm{L_2} :…MediumNumerical value
  2. 28 Jul 2022, Shift 2 · Q76A plane P is parallel to two lines whose direction ratios are −2, 1, −3-2,\ 1,\ -3 and −1, 2, −2-1,\ 2,\ -2 and it contains the point (2, 2, −2)(2,\ 2,\ -2).…MediumSingle correct

Shifts: 25 Jun 2022, Shift 1, 28 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