Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyThe value of $(1 + i)^6 + (1 - i)^6$ is
- A$0$
- B$2^7$
- C$2^6$
- DNone of these
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Similar Questions
The least positive integer $n$ which will reduce $\left( \frac{i - 1}{i + 1} \right)^n$ to a real number is
Easy
View SolutionIf $(x+iy) = \left(\frac{1+i}{1-i}\right)^3 - \left(\frac{1-i}{1+i}\right)^3$,then the true statement among the following is
The smallest positive integer $n$ for which $(1 + i)^{2n} = (1 - i)^{2n}$ is
Medium
View SolutionIf $i = \sqrt{-1}$ and $n$ is a positive integer, then $i^n + i^{n+1} + i^{n+2} + i^{n+3}$ is equal to
Express the following expression in the form of $a+ib$:
$\frac{(3+i \sqrt{5})(3-i \sqrt{5})}{(\sqrt{3}+\sqrt{2}i)-(\sqrt{3}-i\sqrt{2})}$
$\frac{(3+i \sqrt{5})(3-i \sqrt{5})}{(\sqrt{3}+\sqrt{2}i)-(\sqrt{3}-i\sqrt{2})}$
Medium
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