The modulus and amplitude of $\frac{1+2i}{1-(1-i)^{2}}$ are

  • A
    $\sqrt{2}$ and $\frac{\pi}{6}$
  • B
    $1$ and $\frac{\pi}{4}$
  • C
    $1$ and $0$
  • D
    $1$ and $\frac{\pi}{3}$

Explore More

Similar Questions

Let $z = a - \frac{i}{2}$,where $a \in R$. Then $|i + z|^2 - |i - z|^2$ is equal to

If the conjugate of $(x+iy)(1-2i)$ is $(1+i)$,then

$(z + a)(\bar z + a)$,where $a$ is real,is equivalent to

If $\omega$ is a complex number satisfying $\left| \omega + \frac{1}{\omega} \right| = 2$,then the maximum distance of $\omega$ from the origin is:

Difficult
View Solution

If $\frac{(p + i)^2}{2p - i} = \mu + i\lambda$,then $\mu^2 + \lambda^2$ is equal to

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