41) The number of values of \( \theta \in(0, \pi) \) for which the system of linear equations
\[
\begin{array}{l}
x+3 y+7 z=0 \\
-x+4 y+7 z=0 \\
(\sin 3 \theta) x+(\cos 2 \theta) y+2 z=0
\end{array}
\]
has a non-trivial solution, is [JEE (Main)-2019]
(1) Four
(2) One
(3) Three
(4) Two