Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersConjugate and Modulus of complex numbers
MediumIf $\bar{z}$ 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
The complex number $z$ satisfies the condition $\left| z - \frac{25}{z} \right| = 24$. The maximum distance from the origin of coordinates to the point $z$ is:
If $m_1, m_2, m_3$ and $m_4$ respectively denote the moduli of the complex numbers $1+4i, 3+i, 1-i$ and $2-3i$,then the correct relation among the following is:
If $\alpha_1, \alpha_2, \alpha_3$ respectively denote the moduli of the complex numbers $-i, \frac{1}{3}(1+i)$ and $-1+i$,then their increasing order is
If ${z_1}$ and ${z_2}$ are two complex numbers,then $|{z_1} - {z_2}|$ is
Medium
View SolutionIf $z_1=1-2 i, z_2=1+i$ and $z_3=3+4 i$,then $\left|\left(\frac{1}{z_1}+\frac{2}{z_2}\right) \frac{z_3}{z_2}\right|=$
Vedclass 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