Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
MediumIf $m$ and $n$ are respectively the least positive and greatest negative integer values of $k$ such that $\left(\frac{1-i}{1+i}\right)^k = -i$,then $m-n =$
- A$4$
- B$0$
- C$6$
- D$2$
Explore More
Similar Questions
The additive inverse of $1 - i$ is
Easy
View Solution$A$ value of $\theta$ for which $\frac{2 + 3i \sin \theta}{1 - 2i \sin \theta}$ is purely imaginary,is:
The real part of the complex number $z = \frac{5+2i}{2-5i} - \frac{3-4i}{4+3i} - \frac{1}{i}$ is
$\sum\limits_{n=1}^{50} i^{(2n-1)!}$ is equal to (where $i = \sqrt{-1}$)
Difficult
View Solution$\frac{(1+i)^{2011}}{(1-i)^{2009}}$ 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 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