Class 11Mathematics4-1.Complex numbers Integral 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
If $(x+iy) = \left(\frac{1+i}{1-i}\right)^3 - \left(\frac{1-i}{1+i}\right)^3$,then the true statement among the following is
$\sum_{k=0}^{40} i^k = x + iy \Rightarrow x^{100} + x^{99}y + x^{242}y^2 + x^{97}y^3 = $
DifficultAP EAMCET 2022
View SolutionIf $a+ib = \frac{(x+i)^{2}}{2x^{2}+1}$,prove that $a^{2}+b^{2} = \frac{(x^{2}+1)^{2}}{(2x^{2}+1)^{2}}$.
Difficult
View SolutionIf $(1 - i)^n = 2^n$,then $n = $
Medium
View Solution$\frac{(1+i)^{2011}}{(1-i)^{2009}}$ is equal to
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