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Friday, 9 October

JEE Main Maths · Three Dimensional Geometry

Perpendicular Distance from Point to Line

Perpendicular Distance from Point to Line (Three Dimensional Geometry) was asked 4 times in 4 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed.

Times asked
4
in 4 shifts
Years
2024–2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Distance of point from line in space
  • Triangle area from feet of perpendiculars

Difficulty

Easy 1Medium 2Hard 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 4 questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 1 · Q13The square of the distance of the point P(5,6,7)P(5, 6, 7) from the line x−22=y−53=z−24\frac{x-2}{2}=\frac{y-5}{3}=\frac{z-2}{4} is equal to:EasySingle correct
  2. 2 Apr 2025, Shift 1 · Q13Let the vertices Q and R of the triangle PQR lie on the line x+35=y−12=z+43\frac{x+3}{5}=\frac{y-1}{2}=\frac{z+4}{3}, QR=5\mathrm{QR}=5 and the…MediumSingle correct
  3. 7 Apr 2025, Shift 2 · Q17Consider the lines L1:x−1=y−2=zL_1: x-1=y-2=z and L2:x−2=y=z−1L_2: x-2=y=z-1. Let the feet of the perpendiculars from the point P(5,1,−3)P(5,1,-3) on the lines L1L_1…MediumSingle correct
  4. 9 Apr 2024, Shift 2 · Q16Consider the line L passing through the points (1,2,3)(1, 2, 3) and (2,3,5)(2, 3, 5). The distance of the point…HardSingle correct