Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Complex Numbers

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?

1
z = 1 + i
2
|z| = 2
3
z = 1 - i
4
|z| = 1
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