If $i{z^4} + 1 = 0$,then $z$ can take the value

  • A
    $\frac{1 + i}{\sqrt{2}}$
  • B
    $\cos \frac{\pi}{8} + i \sin \frac{\pi}{8}$
  • C
    $\frac{1}{4i}$
  • D
    $i$

Explore More

Similar Questions

If $n$ is an integer and $Z = \cos \theta + i \sin \theta$,where $\theta \neq (2n + 1) \frac{\pi}{2}$,then $\frac{1 + Z^{2n}}{1 - Z^{2n}} = $

If $2 \cos \frac{7 \pi}{5}$ is one of the values of $z^{\frac{1}{5}}$,then $z=$

Let $z = \cos \theta + i \sin \theta$. Then,the value of $\sum_{m=1}^{15} \text{Im}(z^{2m-1})$ at $\theta = 2^{\circ}$ is

If $(\sqrt{3}-i)^{n}=2^{n}, n \in N$,then the least possible value of $n$ is

If $a$ and $b$ are real numbers such that $(2+\alpha)^{4}=a+b \alpha,$ where $\alpha=\frac{-1+i \sqrt{3}}{2},$ then $a+b$ 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