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If ω is a cube root of unity but not equal to 1 then minimum value of a +bω +cω^2 where a, b, c are integers but not all equal is

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If ω is a cube root of unity but not equal to 1 then minimum value of a +bω +cω2 where a, b, c are integers but not all equal is

(1) 0 

(2) √3/2 

(3) 1

(4) 2

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Correct Option  (3) 1

Explanation: 

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