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
The product of the distinct $(2n)^{\text{th}}$ roots of $1+i\sqrt{3}$ is equal to:
DifficultAP EAMCET 2006
View SolutionIf $x = a + b$,$y = a\omega + b\omega^2$,and $z = a\omega^2 + b\omega$,then the value of $x^3 + y^3 + z^3$ is equal to
MediumIIT 1970
View SolutionIf $1, z_1, z_2, \ldots, z_{n-1}$ are the $n$th roots of unity,then the value of $(1-z_1)(1-z_2) \ldots (1-z_{n-1})$ is equal to
If $2x = -1 + \sqrt{3}i$,then the value of $(1 - x^2 + x)^6 - (1 - x + x^2)^6$ is
If $z=\frac{\sqrt{3}+i}{2}$,then $\left(z^{101}+i^{103}\right)^{105}=$
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