Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyThe roots of the equation $ix^2 - 4x - 4i = 0$ are
- A$-2i$
- B$2i$
- C$-2i, -2i$
- D$2i, 2i$
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$\frac{(1+i)^{2011}}{(1-i)^{2009}}$ is equal to
If $|a| = a$ and $|b| = b$,then $\left( \frac{a}{a^2} - \frac{b}{b^2} \right)^2 = $
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View SolutionIf $i = \sqrt{-1}$,then $1 + i^2 + i^3 - i^6 + i^8$ is equal to
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View SolutionExpress the following in the form $a+ib$:
$\frac{5+\sqrt{2}i}{1-\sqrt{2}i}$
$\frac{5+\sqrt{2}i}{1-\sqrt{2}i}$
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View SolutionIf $z = 1 + i,$ then the multiplicative inverse of $z^2$ is (where $i = \sqrt{-1}$)
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