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

If \({\rm{Re}}\left( {\frac{{{\rm{z}} - 1}}{{{\rm{z}} + 1}}} \right) =

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