A) 9
B) 1
C) 0
D) - 9
Correct Answer: D
Solution :
\[\left| \,\begin{matrix} 3 & 1/2 & -3/2 \\ 1/2 & -1 & 3 \\ -3/2 & 3 & k \\ \end{matrix}\, \right|\,\,=\,\,0\] Þ \[\left| \,\begin{matrix} 6 & 1 & -3 \\ 1 & -2 & 6 \\ -3 & 6 & 2k \\ \end{matrix}\, \right|\,\,=\,\,0\] Þ \[6(-4k-36)-1(2k+18)-3(6-6)=0\] Þ \[-24k-216-2k-18=0\]Þ \[k=-9\].You need to login to perform this action.
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