JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

If the complex numbers

z_1, z_2

and

z_3

represent the vertices of an equilateral triangle such that

\left|z_1\right|=\left|z_2\right|=\left|z_3\right|

, then

View answer and explanation

Correct option: A

z_1+z_2+z_3=0

Option A (

z_1+z_2+z_3=0

) is correct because the centroid of an equilateral triangle with circumcenter at the origin is also at the origin.

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