Consider the system of linear equations in \( x, y \) and \( z \) : \[ \begin{array}{l} (\sin 3 ...
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0Consider the system of linear equations in \( x, y \) and \( z \) :
\[
\begin{array}{l}
(\sin 3 \theta) x-y+z=0 \\
(\cos 2 \theta) x+4 y+3 z=0 \\
2 x+7 y+7 z=0
\end{array}
\]
Then which of the following can be values of \( \theta \) for which the system has non-trivial solution?
(A) \( n \pi+(-1)^{n} \pi / 6, \forall n \in Z \)
(B) \( n \pi+(-1)^{n} \pi / 3, \forall n \in Z \)
(C) \( n \pi+(-1)^{n} \pi / 9, \forall n \in Z \)
(D) None of these
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