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Friday, 9 October

JEE Main Maths · Three Dimensional Geometry

Cartesian Shortest Distance

Cartesian Shortest Distance (Three Dimensional Geometry) was asked 5 times in 5 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed.

Times asked
5
in 5 shifts
Years
2020–2026
Usual format
Single correct
Calculation
Pattern
Frequent
repeats across shifts

How it is asked

  • Shortest distance between skew lines
  • Parameter from shortest distance between skew lines

Difficulty

Easy 2Medium 3Hard 0

Where it sits

Chapter: Three Dimensional Geometry. Topic: Skew Lines, 15 questions over 6 ideas.

Other repeat ideas in this topic

Every time it came

All 5 questions

Newest first, each with its options and official answer.

  1. 6 Apr 2026, Shift 2 · Q14The shortest distance between the lines x−41=y−32=z−2−3\frac{x-4}{1}=\frac{y-3}{2}=\frac{z-2}{-3} and x+22=y−64=z−5−5\frac{x+2}{2}=\frac{y-6}{4}=\frac{z-5}{-5} is :EasySingle correct
  2. 7 Apr 2025, Shift 1 · Q14If the shortest distance between the lines x−12=y−23=z−34\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} and…MediumSingle correct
  3. 9 Apr 2024, Shift 1 · Q16The shortest distance between the lines x−34=y+7−11=z−15\frac{x-3}{4}=\frac{y+7}{-11}=\frac{z-1}{5} and x−53=y−9−6=z+21\frac{x-5}{3}=\frac{y-9}{-6}=\frac{z+2}{1} is :EasySingle correct
  4. 31 Jan 2024, Shift 2 · Q17The shortest distance, between lines L1L_1 and L2L_2, where L1:x−12=y+1−3=z+42L_1:\frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+4}{2} and L2L_2 is the line,…MediumSingle correct
  5. 8 Jan 2020, Shift 1 · Q65The shortest distance between the lines x−33=y−8−1=z−31\dfrac{x-3}{3}=\dfrac{y-8}{-1}=\dfrac{z-3}{1} and…MediumSingle correct