If is a cube root of unity with

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

\omega

is a cube root of unity with

\omega\ne1

, then the minimum value of

|a+b\omega+c\omega^2|

, where

a

b

, and

c

are integers but are not all equal, is: (1)

0

(2)

\frac{\sqrt{3}}{2}

(3)

1

(4)

2