[" If "z=x+iy,quad " and "quad w=(1-iz)/(z-i)" ,then "|w|=1" implies that "],[" in the complex plane "]

If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the complex plane

If z=x+iy and omega=(1-iz)/(z-i) , then |omega|=1 implies that in the complex plane

If z= x + yi and omega = ((1- zi))/(z-i) , then |omega|=1 implies that in the complex plane

If z=x+iy and w=(1-iz)/(z-i) , then |w|=1 implies that in the complex plane (A) z lies on imaginary axis (B) z lies on real axis (C) z lies on unit circle (D) None of these

If z=x+iy and w=(1-iz)/(z-i) , then |w|=1 implies that in the complex plane (A) z lies on imaginary axis (B) z lies on real axis (C) z lies on unit circle (D) None of these

If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex plane (A)z lies on imaginary axis (B) z lies on real axis (C)z lies on unit circle (D) None of these

If z=x+i y and w=(1-i z)/(z-i) , show that |w|=1 z is purely real.