If z₁, z₂, z₃ ∈ C are the vertices of an... | Complex Numbers

JEE MAIN 2025

03-04-25 S2

Question

If $z_1, z_2, z_3 \in \mathbb{C}$ are the vertices of an equilateral triangle, whose centroid is $z_0$, then $\sum_{k=1}^3\left(z_k-z_0\right)^2$ is equal to

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Solution

Question Tags

JEE Main

Mathematics

Medium

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