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Saturday, 31 October

JEE Main · Maths · Conic Sections

Incenter via Equidistance

JEE Main asked Incenter via Equidistance 3 times in 3 of the 108 shifts Lumi analysed, in 2021, 2023 and 2026. It belongs to Straight Line Distance, in Conic Sections (Maths). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2021
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210’220.07’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 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
  • 20231 of 12
  • 20220 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

Single correct is the usual form. Skill tested: multi-step.

  • Incentre of triangle from midpoints of sides
  • Focus of parabola through triangle incentre

Difficulty

Easy 0Medium 2Hard 1

Every question was multiple choice.

Every question

All 3 questions

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

  1. 2 Apr 2026, Shift 1 · Q9Let the mid points of the sides of a triangle ABC be (52,7)\left(\frac{5}{2}, 7\right), (52,3)\left(\frac{5}{2}, 3\right) and (4,5)(4, 5). If its…MediumSingle correct
  2. 8 Apr 2023, Shift 2 · Q12Let A(0,1)A(0, 1), B(1,1)B(1, 1) and C(1,0)C(1, 0) be the mid-points of the sides of a triangle with incentre at the point DD. If the focus of the…HardSingle correct
  3. 17 Mar 2021, Shift 2 · Q73Let the tangent to the circle x2+y2=25x^2+y^2=25 at the point R(3, 4) meet xx-axis and yy-axis at points P and Q, respectively. If r is the…MediumSingle correct

Shifts: 17 Mar 2021, Shift 2, 8 Apr 2023, Shift 2, 2 Apr 2026, 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