defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Complex Numbers Properties of Complex Numbers
If \(z \neq 1\) and \(\displaystyle \frac{z^{2}}{z-1}\) is real, then the point represented by the complex number \(\mathrm{z}\) lies:
1
either on the real axis or on a circle passing through the origin.
2
on a circle with centre at the origin.
3
either on the real axis or on a circle not passing through the origin.
4
on the imaginary axis