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Question Id : 15617 | Context : JEE Main 2019 (10 January Evening Shift)
The number of values of $\theta \in (0, \pi)$ for which the system of linear equations  
$x + 3y + 7z = 0$  
$-x + 4y + 7z = 0$  
$(\sin 3\theta)x + (\cos 2\theta)y + 2z = 0$  
has a non-trivial solution, is -


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