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Saturday, 31 October

JEE Main · Maths · Straight Lines

Foot of the perpendicular

JEE Main asked Foot of the perpendicular 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2022. It belongs to Straight Line Distance, in Straight Lines (Maths). The longest wait between two years asking it was 1 year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 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
  • 20221 of 24
  • 20211 of 24
  • 20200 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.

  • Centroid of isosceles triangle from line conditions
  • Vertices of square from side line and vertex

Difficulty

Easy 0Medium 2Hard 0

1 of the 2 questions had a numerical answer.

Every question

All 2 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 1 · Q12In an isosceles triangle ABC, the vertex A is (6,1)(6, 1) and the equation of the base BC is 2x+y=42x+y=4. Let the point B lie on the line…MediumSingle correct
  2. 4 Aug 2021, Shift 2 · Q89One side of a square lies along the line x−3y+1=0x-3y+1=0 and its one vertex is (1,4)(1,4). If (a,b)(a,b) and (c,d)(c,d) are its two vertices on the line…MediumNumerical value

Shifts: 4 Aug 2021, Shift 2, 27 Jun 2022, Shift 1.

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