Complex Vertices Sum of Squares (Jee Mains)

Algebra and Representation of Complex Numbers

Medium

If z₁, z₂, z₃ ∈ C are the vertices of an equilateral triangle, whose centroid is z₀, then $\sum\limits_{k = 1}^3 {{{({z_k} - {z_0})}^2}}$ is equal to

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