One of the roots of the given equation \[\left| \,\begin{matrix} x+a & b & c \\ b & x+c & a \\ c & a & x+b \\ \end{matrix}\, \right|=0\] is [MP PET 1988, 2002; RPET 1996]

One of the roots of the given equation \[\left| \,\begin{matrix}

1.	One of the roots of the given equation \[\left\| \,\begin{matrix} x+a & b & c \\ b & x+c & a \\ c & a & x+b \\ \end{matrix}\, \right\|=0\] is [MP PET 1988, 2002; RPET 1996]
A.	\[-(a+b)\]
B.	\[-(b+c)\]
C.	\[-a\]
D.	\[-(a+b+c)\]
Answer» E.

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One of the roots of the given equation \[\left| \,\begin{matrix} x+a & b & c \\ b & x+c & a \\ c & a & x+b \\ \end{matrix}\, \right|=0\] is [MP PET 1988, 2002; RPET 1996]

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