If z_1, z_2, z_3 \in C are the vertices of an equilateral triangle, whose centroid is z 0, then \sum_{k=1}^{3} (z_k-z_0) ^2 is equal to [3 Apr 2025 Shift 2]

Complex Numbers Part 2

Section: Mathematics

Question : 17 of 97

Marks: +1, -0

If z1,z2,z3∈C are the vertices of an equilateral triangle, whose centroid is z0, then

∑

k=1

(zk−z0)2 is equal to

[3 Apr 2025 Shift 2]

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