If \[\operatorname{Re}\left( \frac{z-1}{z+1} \right)=0,\] where \[2=x+iy\] is a complex number, then which one of the following is correct?

If \[\operatorname{Re}\left( \frac{z-1}{z+1} \right)=0,\] where \[2=x+

1.	If \[\operatorname{Re}\left( \frac{z-1}{z+1} \right)=0,\] where \[2=x+iy\] is a complex number, then which one of the following is correct?
A.	\[z=1+i\]
B.	\[\left\| z \right\|=2\]
C.	\[z=1-i\]
D.	\[\left\| z \right\|=1\]
Answer» E.

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If \[\operatorname{Re}\left( \frac{z-1}{z+1} \right)=0,\] where \[2=x+iy\] is a complex number, then which one of the following is correct?

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