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If omega be the imaginary cube root of 1...

If `omega` be the imaginary cube root of 1, then the value of `(3+omega+3omega^(2))^(4)` will be

A

16

B

`16omega`

C

`16omega^(2)`

D

none of these

Text Solution

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The correct Answer is:
(B)
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Knowledge Check

  • If omega be the imaginary cube root of unity then the value of omega^(241) will be

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

  • If omega is an imaginary cube root of unity, then the value of (1+ omega- omega^(2))(1- omega + omega ^(2)) is-

    A
    1
    B
    2
    C
    4
    D
    8

  • Let omega be an imaginary cube root of unity, then the value of 2 (omega + 1) (omega^(2) +1) +3 (2 omega +1) (2 omega^(2) +1)…+ (n+1) (n omega +1) (n omega ^(2) +1) is-

    A
    `[(n(n+1))/(2)]^(2)+n`
    B
    `[(n(n+1))/(2)]^(2)`
    C
    `[(n(n+1))/(2)]^(2)-n`
    D
    none of these

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