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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Condition for Intersection of Two Lines

JEE Main asked Condition for Intersection of Two Lines 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2025 and 2026. It belongs to Lines in 3D, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 5 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2020
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2025 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200’210’220’230’240.13’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20251 of 8
  • 20240 of 18
  • 20230 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.

  • Intersection of two vector lines
  • Line through point meeting two lines

Difficulty

Easy 1Medium 2Hard 0

Every question was multiple choice.

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. 5 Apr 2026, Shift 1 · Q15The square of the distance of the point of intersection of the lines…MediumSingle correct
  2. 7 Apr 2025, Shift 1 · Q13Let the line L pass through (1,1,1)(1, 1, 1) and intersect the lines x−12=y+13=z−14\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4} and…MediumSingle correct
  3. 3 Sep 2020, Shift 1 · Q66The lines r⃗=(i^−j^)+l(2i^+k^)\vec{r}=(\hat{i}-\hat{j})+l(2\hat{i}+\hat{k}) and r⃗=(2i^−j^)+m(i^+j^−k^)\vec{r}=(2\hat{i}-\hat{j})+\mathrm{m}(\hat{i}+\hat{j}-\hat{k})EasySingle correct

Shifts: 3 Sep 2020, Shift 1, 7 Apr 2025, Shift 1, 5 Apr 2026, 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