Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersIntegral power of iota, Algebraic operations and Equality of complex numbers
EasyIf $\left|\begin{array}{cc}1-i & i \\ 1+2 i & -i\end{array}\right|=x+i y$, then $x$ is equal to
- A$-2$
- B$-1$
- C$1$
- D$2$
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Similar Questions
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
View Solution$\sum\limits_{n = 1}^{50} {{i^{2n-1}}}$ is equal to (where $i = \sqrt{-1}$)
Difficult
View SolutionThe additive inverse of $1 - i$ is
Easy
View SolutionIf $(x + iy)(p + iq) = (x^2 + y^2)i$,then
Easy
View SolutionIf $(1 - i)x + (1 + i)y = 1 - 3i$,then $(x, y) = $
Easy
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