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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Equilateral Triangle Condition via Omega

Equilateral Triangle Condition via Omega (Complex Numbers and Quadratic Equations) was asked 2 times in 2 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2021–2025
Usual format
Numerical value
Conceptual
Pattern
Occasional
repeats across shifts

How it is asked

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

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Roots of Unity, 7 questions over 6 ideas.

Every time it came

All 2 questions

Newest first, each with its options and 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