If $z_1 \cdot z_2 \cdot \dots \cdot z_n = z$,then $arg(z_1) + arg(z_2) + \dots + arg(z_n)$ and $arg(z)$ differ by a

  • A
    Multiple of $2\pi$
  • B
    Multiple of $\frac{\pi}{2}$
  • C
    Value greater than $\pi$
  • D
    Value less than $\pi$

Explore More

Similar Questions

The amplitude of the complex number $\frac{(\sqrt{3}+i)(1-\sqrt{3} i)}{(-1+i)(-1-i)}$ is

The amplitude of ${e^{{e^{ - i\theta }}}}$ is equal to

Difficult
View Solution

If $z=1+i \sqrt{3}$ then $|\operatorname{Arg} z|+|\operatorname{Arg} \bar{z}|$ is equal to

If the amplitude of $(z-1-2i)$ is $\frac{\pi}{3}$,then the locus of $z$ is

$\operatorname{Arg}\left(\frac{4+2 i}{1-2 i}+\frac{3+4 i}{2+3 i}\right)$ lies in the interval

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