The number of $\theta \in(0,4 \pi)$ for which the system of linear equations
$3(\sin 3 \theta) x-y+z=2$, $3(\cos 2 \theta) x+4 y+3 z=3$, $6 x+7 y+7 z=9$ has no solution is.
The number of $\theta \in(0,4 \pi)$ for which the system of linear equations
$3(\sin 3 \theta) x-y+z=2$, $3(\cos 2 \theta) x+4 y+3 z=3$, $6 x+7 y+7 z=9$ has no solution is.
- [JEE MAIN 2022]
- A
$6$
- B
$7$
- C
$8$
- D
$9$
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