A) 1
B) 0
C) x
D) xy
Correct Answer: D
Solution :
\[\left| \,\begin{matrix} 1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y \\ \end{matrix}\, \right|=\left| \,\begin{matrix} 0 & 0 & 1 \\ -x & x & 1 \\ 0 & -y & 1+y \\ \end{matrix}\, \right|=xy,\]\[{{C}_{1}}\to {{C}_{1}}+{{C}_{2}}+{{C}_{3}}\].
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