If the following regions in the complex plane, the only one that does not represent a circle is....

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If the following regions in the complex plane, the only
\( \mathrm{P} \)
one that does not represent a circle is
(1) \( z \bar{z}+i(z-\bar{z})=0 \)
(2) \( \quad \operatorname{Re}\left(\frac{1+z}{1-z}\right)=0 \)
(3) \( \quad \arg \left(\frac{z-i}{z+i}\right)=\frac{\pi}{2} \)
(4) \( \left|\frac{z-i}{z+1}\right|=1 \)


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