Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
EasyIf the multiplicative inverse of a complex number is the number itself,then the number is:
- A$i$
- B$-1$
- C$2$
- D$-i$
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Similar Questions
The least positive integer $n$,for which $\frac{(1+i)^{n}}{(1-i)^{n-2}}$ is positive,is
$\left(\frac{1+i}{1-i}\right)^4+\left(\frac{1-i}{1+i}\right)^4$ is equal to
DifficultTS EAMCET 2013
View SolutionLet $A = \left\{ \theta \in \left( -\frac{\pi}{2}, \pi \right) : \frac{3 + 2i \sin \theta}{1 - 2i \sin \theta} \text{ is purely imaginary} \right\}$. Then the sum of the elements in $A$ is
DifficultJEE MAIN 2019
View SolutionIf $n$ is a positive integer and $\frac{(1+i)^n}{(1-i)^n} = -i$,then $n$ will be of the form:
The value of $\frac{i^{248}+i^{246}+i^{244}+i^{242}+i^{240}}{i^{249}+i^{247}+i^{245}+i^{243}+i^{241}}$,where $i=\sqrt{-1}$,is
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