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Saturday, 31 October

JEE Main · Maths · Straight Lines

Origin Distance to Intercept Form

JEE Main asked Origin Distance to Intercept Form 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2024. 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
2023
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20231 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 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: multi-step.

  • Minimum sum of axis intercepts of variable line
  • Locus of midpoint of intercept segment

Difficulty

Easy 0Medium 1Hard 1

Every question was multiple choice.

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. 6 Apr 2024, Shift 1 · Q10Let a variable line of slope m>0m>0 passing through the point (4,−9)(4,-9) intersect the coordinate axes at the points AA and BB. The minimum…HardSingle correct
  2. 12 Apr 2023, Shift 1 · Q13If the point (α,733)\left(\alpha,\frac{7\sqrt{3}}{3}\right) lies on the curve traced by the mid-points of the line segments of the lines…MediumSingle correct

Shifts: 12 Apr 2023, Shift 1, 6 Apr 2024, 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