Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
EasyThe value of $(1 + i)^8 + (1 - i)^8$ is
- A$16$
- B$-16$
- C$32$
- D$-32$
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Similar Questions
Express the given complex number in the form $a+ib$: $\left[\left(\frac{1}{3}+i \frac{7}{3}\right)+\left(4+i \frac{1}{3}\right)\right]-\left(-\frac{4}{3}+i\right)$
Medium
View SolutionLet $z \in \mathbb{C}$ with $\operatorname{Im}(z)=10$ and it satisfies $\frac{2z-n}{2z+n}=2i-1$, where $i=\sqrt{-1}$, for some natural number $n$. Then:
If $\left(\frac{1-i}{1+i}\right)^{96}=a+ib$,then $(a, b)$ is
MediumKCET 2018
View SolutionIf $\left(\frac{1+i}{1-i}\right)^m=1$,then $m$ cannot be equal to
$A$ value of $\theta$ for which $\frac{2 + 3i \sin \theta}{1 - 2i \sin \theta}$ is purely imaginary,is:
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