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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 3 April 2025, Shift 2, Maths Q5

Question 5 of 75 in this shift, Maths question 5 of 25, Section A.

If 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 ∑k=13(zk−z0)2\sum_{k=1}^{3} (z_k - z_0)^2 is equal to
  1. (1)1
  2. (2)0Official answer
  3. (3)ii
  4. (4)−i-i

Official answer

Option 2

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
  1. 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

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.