A) 5
B) 3
C) 4
D) 7
Correct Answer: A
Solution :
\[\frac{1}{2}\,\left| \,\begin{matrix} -5 & 1 & 1 \\ p & 5 & 1 \\ 10 & 7 & 1 \\ \end{matrix}\, \right|=\,0\,\,\Rightarrow \,\,\left| \,\begin{matrix} -5 & 1 & 1 \\ p & 5 & 1 \\ 10 & 7 & 1 \\ \end{matrix}\, \right|=\,0\,\] \[\Rightarrow \,\,10-(p-10)+(7p-50)=0\,\,\Rightarrow \,\,p=5\].
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