Let $z_{1} = 2 - i$ and $z_{2} = -2 + i$. Find $\operatorname{Im}\left(\frac{1}{z_{1} \bar{z}_{1}}\right)$.

  • A
    $0$
  • B
    $1/5$
  • C
    $1/25$
  • D
    $1$

Explore More

Similar Questions

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 $z = \frac{(1+i)^2}{a-i}$,where $i = \sqrt{-1}$,has a magnitude of $\frac{2}{\sqrt{5}}$,then $\bar{z}$ is

If $z = \frac{4}{1-i}$, then $\bar{z}$ is (where $\bar{z}$ is the complex conjugate of $z$).

The modulus of the square root of the conjugate of $-7+24 \sqrt{-1}$ is ....

Let $z$ be a complex number such that $|z| + z = 3 + i$,where $i = \sqrt{-1}$. Then $|z| = $

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