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If 1,omega , omega^2 are the cube roots...

If `1,omega , omega^2` are the cube roots of unity , then `Delta=|(1,omega^n , omega^(2n)),(omega^n , omega^(2n), 1),(omega^(2n), 1, omega^n)|` is equal to :

A

`omega^(2)`

B

0

C

1

D

`omega`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If 1, omega and omega^2 are the cube roots of unity, then Delta=|(1, omega^n, omega^(2n)),(omega^n, omega^(2n),1),(omega^(2n),1,omega^n)| is equal to

    A
    0
    B
    1
    C
    `omega`
    D
    `omega^2`

  • If 1omega,omega^(2) are the cube roots of unity, then |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to

    A
    0
    B
    1
    C
    `omega`
    D
    `omega^(2)`

  • If omega is cube root of unity, then Delta=|(x+1,omega,omega^(2)),(omega,x+omega^(2),1),(omega^(2),1,x+omega)|=

    A
    `x^(3)+1`
    B
    `x^(3)+omega`
    C
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    D
    `x^(3)`

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