List of top Mathematics Questions on Complex numbers asked in AP ECET Metallurgical Eng

If $z$ is a complex number such that $|z| + z = 3 + i$ where $i = \sqrt{-1}$, then $|z| =$

In the complex plane, if the points A and B represent $(1 + i)$ and $(-1 + i)$ then the angle between OA and OB is

For any real $\theta$, $(\cos \theta + i \sin \theta)(\cos \theta - i \sin \theta) =$

$(-1 + 2i) + \left(\frac{1}{2} - i\right) =$