If $z$ is a complex number of unit modulus and argument $\theta$,then $\text{arg}\left( \frac{1+z}{1+\bar{z}} \right)$ equals:

  • A
    $-\theta$
  • B
    $\frac{\pi}{2} - \theta$
  • C
    $\theta$
  • D
    $\pi - \theta$

Explore More

Similar Questions

$arg(5 - \sqrt{3}i) = $

The amplitude of $\sin \frac{\pi}{5} + i(1 - \cos \frac{\pi}{5})$ is

If $z$ is a purely real number such that $\text{Re}(z) < 0$,then $\text{arg}(z)$ is equal to

$\operatorname{Arg}\left(\sin \frac{6 \pi}{5}+i\left(1+\cos \frac{6 \pi}{5}\right)\right)=$

The amplitude of the complex number $z = \sin \alpha + i(1 - \cos \alpha )$ is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo