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If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity, then the value of `|(a,b omega^(2),a omega),(b omega,c,b omega^(2)),(c omega^(2),a omega,c)|`, is

A

`a^(3) + b^(3) + c^(3)`

B

`a^(2) b - b^(2) c`

C

0

D

`a^(3) + b^(3) + c^(3) - 3 abc`

Text Solution

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The correct Answer is:
C
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