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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Plane Through Two Points Parallel to a Vector

JEE Main asked Plane Through Two Points Parallel to a Vector 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2023. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 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
  • 20220 of 24
  • 20210 of 24
  • 20201 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.

  • Plane through points parallel to line
  • Plane through two points parallel to line

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

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. 13 Apr 2023, Shift 2 · Q14The plane, passing through the points (0,−1,2)(0,-1,2) and (−1,2,1)(-1,2,1) and parallel to the line passing through (5,1,−7)(5,1,-7) and (1,−1,−1)(1,-1,-1), also…MediumSingle correct
  2. 2 Sep 2020, Shift 1 · Q66The plane passing through the points (1,2,1)(1, 2, 1), (2,1,2)(2, 1, 2) and parallel to the line, 2x=3y2x=3y, z=1z=1 also passes through the point :MediumSingle correct

Shifts: 2 Sep 2020, Shift 1, 13 Apr 2023, 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