Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyExpress $(5-3i)^{3}$ in the form $a+ib$.
- A$10-198i$
- B$-10-198i$
- C$10+198i$
- D$-10+198i$
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Similar Questions
Express the given complex number in the form $a+ib$: $\left(\frac{1}{3}+3i\right)^{3}$
Medium
View SolutionIf $(3x+2)-(5y-3)i$ and $(6x+3)+(2y-4)i$ are conjugates of each other,then the value of $\frac{x-y}{x+y}$ is (where $i=\sqrt{-1}, x, y \in R$ ).
Solve $x^{2}+2=0$.
Easy
View Solution$\sum\limits_{n=1}^{50} i^{(2n-1)!}$ is equal to (where $i = \sqrt{-1}$)
Difficult
View SolutionIf $i=\sqrt{-1}$,then $\sum_{n=2}^{30} i^n+\sum_{n=30}^{65} i^{n+3}=$
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