Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
EasyExpress the given complex number in the form $a+ib$: $(1-i)^{4}$
- A$-4$
- B$4$
- C$4i$
- D$-4i$
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Similar Questions
If $Z_1 = 4i^{40} - 5i^{35} + 6i^{17} + 2$ and $Z_2 = -1 + i$,where $i = \sqrt{-1}$,then $|Z_1 + Z_2| = $
If $Z = x + iy$ is a complex number and $\sqrt{x^2 - 2x + 8} + (x + 4)i = y(2 + i)$,then $Z$ is equal to
$\sum\limits_{n = 1}^{50} {{i^{2n-1}}}$ is equal to (where $i = \sqrt{-1}$)
Difficult
View SolutionIf $n$ is a positive integer,then $\left( \frac{1 + i}{1 - i} \right)^{4n + 1} = $
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 $i=\sqrt{-1}, x, y \in R$ ).
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