If $\bar{z}$ is the conjugate of the complex number $z$,then which of the following relations is false?
- A$|z| = |\bar{z}|$
- B$z \cdot \bar{z} = |\bar{z}|^2$
- C$\overline{z_1 + z_2} = \overline{z_1} + \overline{z_2}$
- D$\arg(z) = \arg(\bar{z})$
Explore More
Similar Questions
If $z_{1} = 2 - i$ and $z_{2} = 1 + i$,find $\left| \frac{z_{1} + z_{2} + 1}{z_{1} - z_{2} + 1} \right|$.
Medium
View SolutionThe multiplicative inverse of the complex number $(\sin \theta, \cos \theta)$ is
If $a=|\bar{a}|$ and $b=|\bar{b}|$,then $\left(\frac{\bar{a}}{a^2}-\frac{\bar{b}}{b^2}\right)^2=$
If $a > 0$ and $z = \frac{(1+i)^2}{a+i}, (i = \sqrt{-1})$ has magnitude $\frac{2}{\sqrt{5}}$,then $\bar{z}$ is equal to
The number of integer solutions of the equation $|1-i|^x=2^x$ is
DifficultAP EAMCET 2022
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo