List of top Mathematics Questions on conjugate of a complex number

The conjugate of \( (1+i)^3 \) is

If the conjugate of a complex number $z$ is $\frac{1}{z - i}$, then $z$ can be:

The conjugate of the multiplicative inverse of the complex number \[ z=\frac{1+7i}{3+i} \] is:

Let \(z_{1} = \frac{1}{2} +i\frac{\sqrt{3}}{2}\) and \(z_{2} = -\frac{1}{2} -i\frac{\sqrt{3}}{2}\) . If \(w = z_{1} + \bar{z}_{2}\) , then \(\overline{w} =\)

If the conjugate of a complex number \( z \) is \( \frac{1}{i - 1} \), then \( z \) is

If the conjugate of a complex number \( z \) is \( \frac{1}{i - 1} \), then \( z \) is