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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Parametric Points at Distance r

JEE Main asked Parametric Points at Distance r 3 times in 3 of the 108 shifts Lumi analysed, all in 2024. It belongs to Lines in 3D, in Three Dimensional Geometry (Maths). In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
1 of 8
First asked
2024
the only year
Pattern
New since 2024
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200’210’220’230.14’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 3 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
  • 20243 of 18
  • 20230 of 12
  • 20220 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

Single correct is the usual form. Skill tested: calculation.

  • Point on 3d line at given distance
  • Points on line at given distance from a point

Difficulty

Easy 0Medium 3Hard 0

1 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. 31 Jan 2024, Shift 2 · Q29A line passes through A(4,−6,−2)A(4,-6,-2) and B(16,−2,4)B(16,-2,4). The point P(a,b,c)P(a,b,c), where a,b,ca, b, c are non-negative integers, on the line ABAB…MediumNumerical value
  2. 1 Feb 2024, Shift 2 · Q16Let PP and QQ be the points on the line x+38=y−42=z+12\frac{x+3}{8}=\frac{y-4}{2}=\frac{z+1}{2} which are at a distance of 66 units from the point…MediumSingle correct
  3. 4 Apr 2024, Shift 1 · Q17Let the point, on the line passing through the points P(1,−2,3)(1, -2, 3) and Q(5,−4,7)(5, -4, 7), farther from the origin and at a distance of 9…MediumSingle correct

Shifts: 31 Jan 2024, Shift 2, 1 Feb 2024, Shift 2, 4 Apr 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