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Complex Numbers question

2025 · 3 Apr · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2025 · 3 Apr · Shift 2 · Q29

Complex Numbers question

2025 · 3 Apr · Shift 2 · Q29

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If

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

are the vertices of an equilateral triangle, whose centroid is

z_0

, then

\sum\limits_{k = 1}^3 \left( z_k - z_0 \right)^2

is equal to

A
0
B
1
C
i
D
-i

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