A) 3
B) 5
C) 7
D) 9
Correct Answer: C
Solution :
According to the condition \[\left| \,\begin{matrix} 5 & 5 & 1 \\ 10 & k & 1 \\ -5 & 1 & 1 \\ \end{matrix}\, \right|=0\] \[\Rightarrow \,\,\]\[\left| \,\begin{matrix} 5 & 5 & 1 \\ 5 & k-5 & 0 \\ -10 & 1-5 & 0 \\ \end{matrix}\, \right|=0\,\,\Rightarrow \,\,k=7\].
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