If \[f(x)=a+bx+c{{x}^{2}}\]and \[\alpha ,\beta ,\lambda \] are roots of the equation \[{{x}^{3}}=1,\]then \[\left| \begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix} \right|\] is equal to

\[f(\alpha )+f(\beta )+f(\lambda )\]

\[f(\alpha )f(\beta )+f(\beta )f(\lambda )+f(\gamma )+f(\alpha )\]

\[f(\alpha )f(\beta )f(\gamma )\]

\[-f(\alpha )f(\beta )f(\gamma )\]

If \[f(x)=a+bx+c{{x}^{2}}\]and \[\alpha ,\beta ,\lambda \] are roots o

1.	If \[f(x)=a+bx+c{{x}^{2}}\]and \[\alpha ,\beta ,\lambda \] are roots of the equation \[{{x}^{3}}=1,\]then \[\left\| \begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix} \right\|\] is equal to
A.	\[f(\alpha )+f(\beta )+f(\lambda )\]
B.	\[f(\alpha )f(\beta )+f(\beta )f(\lambda )+f(\gamma )+f(\alpha )\]
C.	\[f(\alpha )f(\beta )f(\gamma )\]
D.	\[-f(\alpha )f(\beta )f(\gamma )\]
Answer» E.

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If \[f(x)=a+bx+c{{x}^{2}}\]and \[\alpha ,\beta ,\lambda \] are roots of the equation \[{{x}^{3}}=1,\]then \[\left| \begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix} \right|\] is equal to

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