defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Complex Numbers Properties of Complex Numbers
If z = x + iy and \(ω = \frac{1-iz}{z-i}\), then |ω| = 1 implies that, in the complex plane:
1
Z lines on the imaginary axis
2
Z lies on the real axis
3
Z lies on the unit circle
4
none of these