Question

If $z_1,z_2,z_3$ represent the vertices of an equilateral triangle such that $|z_1|=|z_2|=|z_3|$, then

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Since, $|z_1|=|z_2|=|z_3|$ , the origin is the circum-centre of the triangle.
$\therefore$ Origin is the centroid, because the triangle is equilateral.
$\therefore \frac{z_1+z_2+z_3}{3}=0$