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If alpha" and "beta are complex cube roo...

If `alpha" and "beta` are complex cube roots of unity and `x=a alpha+ b beta, y= a+b, z= a beta+b alpha`, then xyz is equal to

A

`a+b`

B

`a-b`

C

`a^(2)+b^(2)`

D

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

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, alpha beta=3 and a, b, c are in AP, then alpha + beta is equal to

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  • If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

    A
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