\begin{tabular}{|l|l|l|l|l|} \hline A. & \( \left\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\...

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\begin{tabular}{|l|l|l|l|l|}
\hline A. & \( \left\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\right]: \cos x+\sin x=1\right\} \) & P. & Has two elements \\
\hline B. & \( \left\{x \in\left[-\frac{5 \pi}{18}, \frac{5 \pi}{18}\right]: \sqrt{3} \tan 3 x=1\right\} \) & q. & Has three elements \\
\hline C. & \( \left\{x \in\left[-\frac{6 \pi}{5}, \frac{6 \pi}{5}\right]: 2 \cos (2 x)=\sqrt{3}\right\} \) & r. & Has four elements \\
\hline D. & \( \left\{x \in\left[-\frac{7 \pi}{4}, \frac{7 \pi}{4}\right]: \sin x-\cos x=1\right\} \) & s. & Has five elements \\
\hline
\end{tabular}
The correct option is:
(a) \( \mathrm{A} \rightarrow \mathrm{p} ; \mathrm{B} \rightarrow \mathrm{s} ; \mathrm{C} \rightarrow \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{s} \)
(b) \( \mathrm{A} \rightarrow \) p; \( \mathrm{B} \rightarrow \mathrm{p} ; \mathrm{C} \rightarrow \mathrm{t} ; \mathrm{D} \rightarrow \mathrm{r} \)
(c) \( \mathrm{A} \rightarrow \) q; \( \mathrm{B} \rightarrow \mathrm{p} ; \mathrm{C} \rightarrow \mathrm{t} ; \mathrm{D} \longrightarrow \mathrm{s} \)
(d) \( \mathrm{A} \rightarrow \mathrm{q} ; \mathrm{B} \rightarrow \mathrm{s} ; \mathrm{C} \rightarrow \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{r} \)
(b)
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