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Saturday, 31 October

JEE Main · Maths · Straight Lines

Perpendicular distance from point

JEE Main asked Perpendicular distance from point 4 times in 4 of the 108 shifts Lumi analysed, in 2020, 2021 and 2022. It belongs to Straight Line Distance, in Straight Lines (Maths). The longest wait between two years asking it was 1 year. In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2020
last in 2022
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170.08’200.03’210.07’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

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

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20222 of 24
  • 20211 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Point at given distances from two lines
  • Distance of circle centre from line

Difficulty

Easy 0Medium 3Hard 1

2 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 27 Jun 2022, Shift 2 · Q29Let a circle CC of radius 55 lie below the xx-axis. The line L1:4x+3y+2=0L_1: 4x+3y+2=0 passes through the centre PP of the circle CC and…MediumNumerical value
  2. 25 Jul 2022, Shift 2 · Q10Let the point P(α,β)P(\alpha,\beta) be at a unit distance from each of the two lines L1:3x−4y+12=0L_1:3x-4y+12=0, and L2:8x+6y+11=0L_2:8x+6y+11=0. If PP lies below…MediumSingle correct
  3. 26 Aug 2021, Shift 2 · Q69A 10 inches long pencil AB with mid point C and a small eraser P are placed on the horizontal top of a table such that…MediumSingle correctHas a figure
  4. 4 Sep 2020, Shift 2 · Q74Let PQ be a diameter of the circle x2+y2=9x^2+y^2=9. If α\alpha and β\beta are the lengths of the perpendiculars from P and Q on the straight…HardNumerical value

Shifts: 4 Sep 2020, Shift 2, 26 Aug 2021, Shift 2, 27 Jun 2022, Shift 2, 25 Jul 2022, Shift 2.

Same topic

Other ideas in Straight Line Distance

Straight Line Distance has 23 ideas JEE Main has asked; 16 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas