Verified Solution • 2025–26 Session moderate

QJEEAdv03Maa180: JEE Advanced 2003 Mathematics - Class 11 JEEAdv03Maa180 Solution: If and (where ), then is

If

\,\left| z \right| = 1

and

\omega = {{z - 1} \over {z + 1}}

(where

z \ne - 1

), then

{\mathop{\rm Re}\nolimits} \left( \omega \right)

is

Multiple Choice Options

A 0
B $- {1 \over {{{\left| {z + 1} \right|}^2}}}$
C $\left| {{z \over {z + 1}}} \right|.{1 \over {{{\left| {z + 1} \right|}^2}}}$
D $\,{{\sqrt 2 } \over {{{\left| {z + 1} \right|}^2}}}$

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