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If `alpha, beta, gamma` are the roots of `x^(3)+ax^(2)+b=0` then the determinant `Delta=|(alpha, beta, gamma),(beta, gamma, alpha),(gamma, alpha, beta)|` equals

A

`-a^(3)`

B

`a^(3)-3b`

C

`a^(2)-3b`

D

`a^(3)`

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The correct Answer is:
D
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