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Question Id : 13020 | Context : JEE Main 2022 (25 July Morning Shift)
The number of $\theta \in(0,4 \pi)$ for which the system of linear equations

$\begin{aligned}&3(\sin 3 \theta) x-y+z=2 \\\\&3(\cos 2 \theta) x+4 y+3 z=3 \\\\&6 x+7 y+7 z=9\end{aligned}$

has no solution, is :

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