Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyIf $i = \sqrt{-1}$,then $1 + i^2 + i^3 - i^6 + i^8$ is equal to
- A$2 - i$
- B$1$
- C$3$
- D$-1$
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The value of $\sum_{n=1}^{13}(i^{n}+i^{n+1})$,where $i=\sqrt{-1}$,is
If $n$ is a positive integer and $\frac{(1+i)^n}{(1-i)^n} = -i$,then $n$ will be of the form:
$\left(\frac{1+i}{1-i}\right)^4+\left(\frac{1-i}{1+i}\right)^4$ is equal to
DifficultAP EAMCET 2013
View Solution$\left( \frac{1}{1 - 2i} + \frac{3}{1 + i} \right) \left( \frac{3 + 4i}{2 - 4i} \right) = $
Medium
View SolutionIf $4x + i(3x - y) = 3 + i(-6)$,where $x$ and $y$ are real numbers,then find the values of $x$ and $y$.
Easy
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