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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Equation of a Parallel Plane

JEE Main asked Equation of a Parallel Plane 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Planes in 3D, in Three Dimensional Geometry (Maths). In 2021 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
2021
the only year
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 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
  • 20220 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: application.

  • Point on plane parallel to given plane
  • Identify parallel planes among three

Difficulty

Easy 2Medium 0Hard 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. 26 Feb 2021, Shift 1 · Q79Consider the three planes P1:3x+15y+21z=9P_1 : 3x+15y+21z=9, P2:x−3y−z=5P_2 : x-3y-z=5, and P3:2x+10y+14z=5P_3 : 2x+10y+14z=5 Then, which one of the following is true ?EasySingle correct
  2. 3 Aug 2021, Shift 1 · Q76The plane which is parallel to r⃗⋅(i^+2j^+3k^)=6\vec{r} \cdot (\hat{i} + 2\hat{j} + 3\hat{k}) = 6 and passes through (1, 2, 3), also passes through the…EasySingle correct

Shifts: 26 Feb 2021, Shift 1, 3 Aug 2021, 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