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If a, b, c are distinct odd integers and...

If `a, b, c` are distinct odd integers and `omega` is non real cube root of unity, then minimum value of `| a omega^2 + b+ comega|`, is

A

`0`

B

`3`

C

`1`

D

`2sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`|aomega^(2)+b+comega|^(2)`
`=1/2((a-b)^(2)+(b-c)^(2)+(c-a)^(2))`
`ge1/2(4+4+5)=12`
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