If z=x+ⅈy and ω=(1-ⅈz)/(z- ⅈ ) then |ω|=1 implies

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If z=x+ⅈy and ω=(1-ⅈz)/(z-ⅈ) then |ω|=1 implies
Z lies on imaginary axis
Z lies on real axis
Z lies on unit circle
None
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