The number of values of \( \theta \in[0,2 \pi] \) satisfying r \( \...

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The number of values of \( \theta \in[0,2 \pi] \) satisfying r \( \sin \theta=\sqrt{3} \) and \( r+4 \sin \theta=2(\sqrt{3}+1) \) is
\( \mathrm{P} \)
(a) 4
(b) 5
(c) 6
(d) 7
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