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Saturday, 31 October

JEE Main · Maths · Three Dimensional Geometry

Distance Along a Line

JEE Main asked Distance Along a Line 9 times in 9 of the 108 shifts Lumi analysed, in 2020, 2021, 2022, 2023 and 2026. It belongs to Point-Plane Distance, in Three Dimensional Geometry (Maths). The longest wait between two years asking it was 3 years. In 2021, 2022 and 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
9
in 9 shifts
Years
5 of 8
First asked
2020
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022, 2023 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170.08’200.07’210.07’220.21’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 2 in 24 shifts · 2022: 2 in 24 shifts · 2023: 3 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20240 of 18
  • 20233 of 12
  • 20222 of 24
  • 20212 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: calculation.

  • Distance of point from plane along given direction
  • Distance of point from line along given direction

Difficulty

Easy 0Medium 6Hard 3

2 of the 9 questions had a numerical answer.

Every question

All 9 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 4 Apr 2026, Shift 1 · Q15The square of the distance of the point (−2,−8,6)(-2,-8,6) from the line x−11=y−12=z−1\frac{x-1}{1}=\frac{y-1}{2}=\frac{z}{-1} along the line…MediumSingle correct
  2. 15 Apr 2023, Shift 1 · Q29Let the plane P contain the line 2x+y−z−3=0=5x−3y+4z+92x+y-z-3=0=5x-3y+4z+9 and be parallel to the line x+22=3−y−4=z−75\frac{x+2}{2}=\frac{3-y}{-4}=\frac{z-7}{5}. Then…HardNumerical value
  3. 13 Apr 2023, Shift 1 · Q17The distance of the point (−1,2,3)(-1,2,3) from the plane r⃗⋅(i^−2j^+3k^)=10\vec{r}\cdot\left(\hat{i}-2\hat{j}+3\hat{k}\right)=10 parallel to the line of the…HardSingle correct
  4. 11 Apr 2023, Shift 2 · Q16Let the line passing through the points P(2,−1,2)P(2, -1, 2) and Q(5,3,4)Q(5, 3, 4) meet the plane x−y+z=4x - y + z = 4 at the point RR. Then the distance…HardSingle correct
  5. 30 Jun 2022, Shift 1 · Q16The distance of the point (3,2,−1)(3, 2, -1) from the plane 3x−y+4z+1=03x - y + 4z + 1 = 0 along the line 2−x2=y−32=z+11\frac{2-x}{2} = \frac{y-3}{2} = \frac{z+1}{1}…MediumSingle correct
  6. 29 Jul 2022, Shift 1 · Q9If the foot of the perpendicular from the point A(−1,4,3)A(-1, 4, 3) on the plane P:2x+my+nz=4P : 2x + my + nz = 4, is…MediumSingle correct
  7. 16 Mar 2021, Shift 2 · Q83If the distance of the point (1, −2-2, 3) from the plane x+2y−3z+10=0x+2y-3z+10=0 measured parallel to the line,…MediumNumerical value
  8. 27 Aug 2021, Shift 1 · Q73The distance of the point (1,−2,3)(1, -2, 3) from the plane x−y+z=5x-y+z=5 measured parallel to a line, whose direction ratios are 2,3,−62, 3, -6 is :MediumSingle correct
  9. 4 Sep 2020, Shift 2 · Q67The distance of the point (1,−2,3)(1, -2, 3) from the plane x−y+z=5x-y+z=5 measured parallel to the line x2=y3=z−6\frac{x}{2}=\frac{y}{3}=\frac{z}{-6} is :MediumSingle correct

Shifts: 4 Sep 2020, Shift 2, 16 Mar 2021, Shift 2, 27 Aug 2021, Shift 1, 30 Jun 2022, Shift 1, 29 Jul 2022, Shift 1, 11 Apr 2023, Shift 2, 13 Apr 2023, Shift 1, 15 Apr 2023, Shift 1, 4 Apr 2026, Shift 1.

Same topic

Other ideas in Point-Plane Distance

Point-Plane Distance has 7 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas