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Friday, 9 October

JEE Main Maths · Three Dimensional Geometry

Line Perpendicular to Two Given Lines

Line Perpendicular to Two Given Lines (Three Dimensional Geometry) was asked 6 times in 6 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 2 of the 6 had a numerical answer.

Times asked
6
in 6 shifts
Years
2023–2026
Usual format
Single correct
Multi-step
Pattern
Comes in cycles
repeats across shifts

How it is asked

  • Foot of perpendicular with line normal to two vectors
  • Point on line at given distance

Difficulty

Easy 0Medium 5Hard 1

Where it sits

Chapter: Three Dimensional Geometry. Topic: Lines in 3D, 39 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 6 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 1 · Q15Let a line L passing through the point (1,1,1)(1, 1, 1) be perpendicular to both the vectors 2i^+2j^+k^2\hat i+2\hat j+\hat k and…MediumSingle correct
  2. 8 Apr 2026, Shift 2 · Q23Let a line L1L_1 pass through the origin and be perpendicular to the lines…MediumNumerical value
  3. 7 Apr 2025, Shift 2 · Q16If the equation of the line passing through the point (0,−12,0)\left(0,-\frac{1}{2},0\right) and perpendicular to the lines…MediumSingle correct
  4. 30 Jan 2024, Shift 2 · Q17Let L1:r⃗=(i^−j^+2k^)+λ(i^−j^+2k^),λ∈RL_1: \vec{r} = (\hat{i} - \hat{j} + 2\hat{k}) + \lambda(\hat{i} - \hat{j} + 2\hat{k}), \lambda \in \mathbb{R},…MediumSingle correct
  5. 31 Jan 2024, Shift 1 · Q15The distance of the point Q(0,2,−2)Q(0,2,-2) form the line passing through the point P(5,−4,3)P(5,-4,3) and perpendicular to the lines…MediumSingle correct
  6. 11 Apr 2023, Shift 1 · Q22Let a line ll pass through the origin and be perpendicular to the lines…HardNumerical value