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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

General Point Parameterization

JEE Main asked General Point Parameterization 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to Lines in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 2 years. In 2022 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
2022
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210.07’220’230.05’240’250’26

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: 1 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
  • 20241 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.

  • Line with given direction meeting two lines
  • Distance of point from line along given direction

Difficulty

Easy 0Medium 2Hard 1

2 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 Jan 2024, Shift 1 · Q17The distance, of the point (7,−2,11)(7, -2, 11) from the line x−61=y−40=z−83\dfrac{x-6}{1}=\dfrac{y-4}{0}=\dfrac{z-8}{3} along the line…MediumSingle correct
  2. 24 Jun 2022, Shift 1 · Q24Let a line having direction ratios 1,−4,21, -4, 2 intersect the lines x−73=y−1−1=z+21\frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1} and…MediumNumerical value
  3. 26 Jul 2022, Shift 1 · Q30Let Q and R be two points on the line x+12=y+23=z−12\frac{x + 1}{2} = \frac{y + 2}{3} = \frac{z - 1}{2} at a distance 26\sqrt{26} from the point P(4,…HardNumerical value

Shifts: 24 Jun 2022, Shift 1, 26 Jul 2022, Shift 1, 27 Jan 2024, Shift 1.

Same topic

Other ideas in Lines in 3D

Lines in 3D has 18 ideas JEE Main has asked; 10 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas