If z₁, z₂, z₃ ∈ ℂ are the vertices of an equilateral triangle, wh… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 2Argand Plane & Geometry

If $z_1, z_2, z_3 \in \mathbb{C}$ 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

A
$0$
B
$2$
C
$i$
D
$-i$

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