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JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 18 March 2021, Shift 1, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

Let

z_1, z_2

be the roots of the equation

z^2+az+12=0

and

z_1, z_2

form an equilateral triangle with origin. Then, the value of

|a|

is __________.

Official answer

6

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Roots of Unity
Idea tested: Equilateral Triangle Condition via Omega

Same idea in other shifts

Asked 2× in all

3 Apr 2025, Shift 2 · Q5If $z_1, z_2, z_3 \in \mathbb{C}$ are the vertices of an equilateral triangle, whose centroid is $z_0$ , then…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.