The value of the determinant \[\left| \,\begin{matrix} 1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b \\ \end{matrix}\, \right|\]is [MP PET 1993; Karnataka CET 1994; Pb. CE 2004]

The value of the determinant \[\left| \,\begin{matrix} 1 & a & b+

1.	The value of the determinant \[\left\| \,\begin{matrix} 1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b \\ \end{matrix}\, \right\|\]is [MP PET 1993; Karnataka CET 1994; Pb. CE 2004]
A.	\[a+b+c\]
B.	\[{{(a+b+c)}^{2}}\]
C.	0
D.	\[1+a+b+c\]
Answer» D. \[1+a+b+c\]

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The value of the determinant \[\left| \,\begin{matrix} 1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b \\ \end{matrix}\, \right|\]is [MP PET 1993; Karnataka CET 1994; Pb. CE 2004]

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