If \( \alpha, \beta \& \gamma \) are the roots of the equation \( x^{3}+p x+q= \) 0. then the va...

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If \( \alpha, \beta \& \gamma \) are the roots of the equation \( x^{3}+p x+q= \) 0. then the value of the determinant \( \left|\begin{array}{lll}\alpha & \beta & \gamma \\ \beta & \gamma & \alpha \\ \gamma & \alpha & \beta\end{array}\right|= \)
P
(1) \( p \)
(3) \( p^{2}-2 q \)
(2) q
(4) 0
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