If $z$ is a complex number such that $z = -\overline{z}$,then $z$:

  • A
    $z$ is purely real
  • B
    $z$ is purely imaginary
  • C
    $z$ is any complex number
  • D
    real part of $z$ is the same as its imaginary part

Explore More

Similar Questions

If $z$ is a complex number such that $|z| \geqslant 2$,then the minimum value of $|z + \frac{1}{2}|$ is:

Difficult
View Solution

If $z$ is a complex number such that $\left|z-\frac{4}{z}\right|=2$,then the greatest value of $|z|$ is

Find the multiplicative inverse of the complex number $4-3i$.

If $Z = \alpha + i \beta$ satisfies the equation $|Z| - Z = 1 + 2i$ and $|Z| = \sqrt{\alpha^2 + \beta^2}$,then $Z \bar{Z} = $

If $x+iy = \frac{(3+2i)(4-7i)(12+13i)}{(13-12i)(2-3i)(11+3i)}$,then $x^2+y^2=$

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