Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
DifficultExpress the following in the form of $a+bi$: $(-i)(2i)\left(-\frac{1}{8}i\right)^{3}$
- A$\frac{1}{256}i$
- B$-\frac{1}{256}i$
- C$\frac{1}{512}i$
- D$-\frac{1}{512}i$
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Similar Questions
For any two complex numbers $z_{1}$ and $z_{2},$ prove that $\operatorname{Re}(z_{1} z_{2})=\operatorname{Re} z_{1} \operatorname{Re} z_{2}-\operatorname{Im} z_{1} \operatorname{Im} z_{2}.$
Medium
View SolutionThe value of $\sum_{n=1}^{13}(i^{n}+i^{n+1})$,where $i=\sqrt{-1}$,is
$\left(\frac{1-i}{1+i}\right)^{2022}+\left(\frac{1+i}{1-i}\right)^{2021}=$
Express the following in the form of $a+bi$:
$(-5i) \left(\frac{1}{8}i\right)$
$(-5i) \left(\frac{1}{8}i\right)$
Easy
View SolutionIf $n$ is a positive integer and $\frac{(1+i)^n}{(1-i)^n} = -i$,then $n$ will be of the form:
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