The roots of the equation \[\left| \,\begin{matrix} x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1 \\ \end{matrix}\, \right|=0\]are [Karnataka CET 1992]

The roots of the equation \[\left| \,\begin{matrix} x-1 & 1 & 1

1.	The roots of the equation \[\left\| \,\begin{matrix} x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1 \\ \end{matrix}\, \right\|=0\]are [Karnataka CET 1992]
A.	1, 2
B.	- 1, 2
C.	1, - 2
D.	-1, - 2
Answer» C. 1, - 2

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The roots of the equation \[\left| \,\begin{matrix} x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1 \\ \end{matrix}\, \right|=0\]are [Karnataka CET 1992]

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