The minimum value of \( \left|a+b \omega+c \omega^{2}\right| \), where \( a, b \) and c are all ...

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

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(a) \( \sqrt{3} \)
(b) \( \frac{1}{2} \)
(c) 1
\( (2005,1 \mathrm{M}) \)
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