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

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

If z= x+iy and omega = frac{1-iz}{z-i} , the abs(omega) = 1 shows that in complex plane.

If z = x + yi, omega = (2-iz)/(2z-i) and |omega|=1 , find the locus of z in the complex plane