Let z=x+iy and omega=(1-iz)/(z-i). If |omega|=1 show the in the complex plane the point z lies o...

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If z=x+iy and ω=(1-iz)/(z-i), then |ω|=1, implies that in the complex plane, If z=x+iy and ω=(1-iz)/(z-i), then |ω|=1, implies that in the complex plane,
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graphing |z-1|=2 , in the complex plane (related videos in desc. below) graphing |z-1|=2 , in the complex plane (related videos in desc. below)