The curve represented by \[ z=\frac{3}{2+\cos \theta+i \sin \theta}...

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The curve represented by
\[
z=\frac{3}{2+\cos \theta+i \sin \theta}, \theta \in \mathbf{R}
\]
(a) never meets the imaginary axis
(b) meets the real axis in exactly two points
(c) has maximum value of \( |z| \) as 3
(d) has minimum value of \( |z| \) as 1
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