If \( \alpha, \beta, \gamma \) are the roots of \( x^{3}+a x^{2}+b=...
If \( \alpha, \beta, \gamma \) are the roots of \( x^{3}+a x^{2}+b=0 \), \( b \neq 0 \); then the determinant \( \Delta \), where
\[
\Delta=\left|\begin{array}{ccc}
\frac{1}{\alpha} & \frac{1}{\beta} & \frac{1}{\gamma} \\
\frac{1}{\beta} & \frac{1}{\gamma} & \frac{1}{\alpha} \\
\frac{1}{\gamma} & \frac{1}{\alpha} & \frac{1}{\beta}
\end{array}\right| \text { equals }
\]
(a) \( -b^{3} \)
(b) \( b^{3}-3 c \)
(c) \( b^{2}-3 c \)
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