A) 15
B) 31/2
C) 16
D) 33/2
Correct Answer: D
Solution :
Given set of equations will have a non trivial solution if the determinant of coefficient of x, y, z is zero i.e., \[\left| \,\begin{matrix} 1 & k & 3 \\ 3 & k & -2 \\ 2 & 3 & -4 \\ \end{matrix}\, \right|=\,0\,\Rightarrow 2k-33=0\] or \[k=\frac{33}{2}\].
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