If [x] denotes the greatest integer ≤ x, then the system of linear equations [sinθ]x + [– cosθ]y = 0 [cotθ]x + y = 0
Select the correct option:
A
Has a unique solution if $\theta \in\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right)$ and have infinitely many solutions if $\theta \in\left(\pi, \frac{7 \pi}{6}\right)$
B
Has a unique solution if $\theta \in\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right) \cup\left(\pi, \frac{7 \pi}{6}\right)$
C
Have infinitely many solutions if $\theta \in\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right)$ and has a unique solution if $\theta \in\left(\pi, \frac{7 \pi}{6}\right)$
D
Have infinitely many solutions if $\theta \in\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right) \cup\left(\pi, \frac{7 \pi}{6}\right)$
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