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If omega is a complex cube root of unity...

If `omega` is a complex cube root of unity then a root of the equation
`|[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^2,1,x+omega]|=0` is

A

`x=1`

B

`x=omega`

C

`x=omega^2`

D

`x=0`

Text Solution

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The correct Answer is:
D
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