Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyThe value of $(1 + i)^5 \times (1 - i)^5$ is
- A$-8$
- B$8i$
- C$8$
- D$32$
Explore More
Similar Questions
${\left( \frac{1 + i}{1 - i} \right)^2} + {\left( \frac{1 - i}{1 + i} \right)^2}$ is equal to
Easy
View SolutionIf $(2x - y + 1) + i(x - 2y - 1) = 2 - 3i$,then the multiplicative inverse of $(x - iy)$ is
If $x, y \in R$ and $(x + iy)(3 + 2i) = 1 + i$,then $(x, y)$ is
Medium
View SolutionIf $m$ 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 $m-n =$
If $z$ and $z'$ are complex numbers such that $z \cdot z' = z$,then $z' = $
Medium
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