Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
Easy$(1 + i)^{10}$,where $i^2 = -1$,is equal to
- A$32i$
- B$64 + i$
- C$24i - 32$
- DNone of these
Explore More
Similar Questions
For how many natural numbers $n$ such that $1 \leq n \leq 2021$ is $\left(\frac{1+i}{1-i}\right)^n=1$?
If ${\left( {\frac{{1 - i}}{{1 + i}}} \right)^{100}} = a + ib$,then
Easy
View SolutionThe simplified form of $i^{n} + i^{n+1} + i^{n+2} + i^{n+3}$ is
If $\left(\frac{1+i}{1-i}\right)^{m}=1$,then find the least positive integral value of $m$.
Medium
View SolutionIf $x + \frac{1}{x} = 2\cos \theta ,$ then $x$ is equal to
Easy
View SolutionVedclass 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