Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyIf one root of the quadratic equation $ix^2 - 2(i + 1)x + (2 - i) = 0$ is $2 - i$,then the other root is
- A$-i$
- B$i$
- C$2 + i$
- D$2 - i$
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Similar Questions
If $\frac{(1+i) x-i}{2+i}+\frac{(1+2 i) y+i}{2-i}=1$,then $(x, y)$ is equal to
DifficultTS EAMCET 2013
View SolutionFor any two complex numbers $z_{1}$ and $z_{2},$ prove that $\operatorname{Re}(z_{1} z_{2})=\operatorname{Re} z_{1} \operatorname{Re} z_{2}-\operatorname{Im} z_{1} \operatorname{Im} z_{2}.$
Medium
View SolutionIf $i = \sqrt{-1}$,then $1 + i^2 + i^3 - i^6 + i^8$ is equal to
Easy
View SolutionExpress $(5-3i)^{3}$ in the form $a+ib$.
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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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