Let \( A=\left\{z \in C:\left|\frac{z+1}{z+1}\right|1\right\} \) and \[ B=\left\{z \in C: \arg \...

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Let \( A=\left\{z \in C:\left|\frac{z+1}{z+1}\right|1\right\} \) and
\[
B=\left\{z \in C: \arg \left(\frac{z-1}{z+1}\right)=\frac{2 \pi}{3}\right\}
\]
Then \( A \cap B \) is
(a) A portion of a circle centred at \( \left(0,-\frac{1}{\sqrt{3}}\right) \) that lies in the second and third quadrants only
(b) A portion of a circle centred at \( \left(0,-\frac{1}{\sqrt{3}}\right) \) that lies in the second quadrant only
(c) An empty set
(d) A portion of a circle of radius \( \frac{2}{\sqrt{3}} \) that lies in the third quadrant only
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