If \[\omega \] is a cube root of unity but not equal to 1 then minimum value of \[|a+b\omega +c{{\omega }^{2}}|\] (where a, b, c are integers but not all equal) is [IIT Screening 2005]

If \[\omega \] is a cube root of unity but not equal to 1 then minimum

1.	If \[\omega \] is a cube root of unity but not equal to 1 then minimum value of \[\|a+b\omega +c{{\omega }^{2}}\|\] (where a, b, c are integers but not all equal) is [IIT Screening 2005]
A.	0
B.	\[\frac{\sqrt{3}}{2}\]
C.	1
D.	2
Answer» D. 2

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If \[\omega \] is a cube root of unity but not equal to 1 then minimum value of \[|a+b\omega +c{{\omega }^{2}}|\] (where a, b, c are integers but not all equal) is [IIT Screening 2005]

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