Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
MediumWhich of the following statements is true?
- A$1 - i < 1 + i$
- B$2i + 1 > -2i + 1$
- C$2i > 1$
- DNone of these
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If $(3x+2)-(5y-3)i$ and $(6x+3)+(2y-4)i$ are conjugates of each other,then the value of $\frac{x-y}{x+y}$ is (where $i=\sqrt{-1}, x, y \in R$ ).
Let $A = \left\{ \theta \in \left( -\frac{\pi}{2}, \pi \right) : \frac{3 + 2i \sin \theta}{1 - 2i \sin \theta} \text{ is purely imaginary} \right\}$. Then the sum of the elements in $A$ is
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View Solution$\sum\limits_{n = 1}^{50} {{i^{2n-1}}}$ is equal to (where $i = \sqrt{-1}$)
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