Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
MediumExpress the following in the form $a+ib$:
$i^{-35}$
$i^{-35}$
- A$0+i$
- B$0-i$
- C$1+0i$
- D$1+i$
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Similar Questions
Express the given complex number in the form $a+ib$: $(1-i)-(-1+i6)$
Medium
View Solution$\left(\frac{1+i}{1-i}\right)^{228} = $
Let $z \in \mathbb{C}$ with $Im(z) = 10$ and it satisfies $\frac{2z - n}{2z + n} = 2i - 1$ for some natural number $n$. Then
DifficultJEE MAIN 2019
View SolutionIf $i = \sqrt{-1}$, then $[i^{18} + (\frac{1}{i})^{25}]^3 = $
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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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