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Saturday, 31 October

JEE Main · Maths · Complex Numbers and Quadratic Equations

Equilateral Triangle Condition via Omega

JEE Main asked Equilateral Triangle Condition via Omega 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2025. It belongs to Roots of Unity, in Complex Numbers and Quadratic Equations (Maths). The longest wait between two years asking it was 4 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.03’210’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
  • 20251 of 8
  • 20240 of 18
  • 20230 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

Numerical value is the usual form. Skill tested: conceptual.

  • Complex numbers as vertices of equilateral triangle
  • Parameter from equilateral triangle roots

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. 3 Apr 2025, Shift 2 · Q5If z1,z2,z3∈Cz_1, z_2, z_3 \in \mathbb{C} are the vertices of an equilateral triangle, whose centroid is z0z_0, then…MediumSingle correct
  2. 18 Mar 2021, Shift 1 · Q81Let z1,z2z_1, z_2 be the roots of the equation z2+az+12=0z^2+az+12=0 and z1,z2z_1, z_2 form an equilateral triangle with origin. Then, the value of…MediumNumerical value

Shifts: 18 Mar 2021, Shift 1, 3 Apr 2025, Shift 2.

Same topic

Other ideas in Roots of Unity

Roots of Unity has 11 ideas JEE Main has asked; 6 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas