If \( \omega \) is a cube root of unity but not equal to 1 , then m...

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If \( \omega \) is a cube root of unity but not equal to 1 , then minimum value of \( \left|a+b \omega+c \omega^{2}\right| \), (where \( a, b \) and \( c \) are
\( \mathrm{P} \) integers but not all equal), is

W
[IIT-JEE 2005, 3M]
(a) 0
(b) \( \frac{\sqrt{3}}{2} \)
(c) 1
(d) 2
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