The conjugate of a complex number is $\frac{1}{i - 1}$. Then,the complex number is:
- A$-\frac{1}{i - 1}$
- B$\frac{1}{i + 1}$
- C$-\frac{1}{i + 1}$
- D$\frac{1}{i - 1}$
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Similar Questions
If $\omega$ is a complex number satisfying $\left| \omega + \frac{1}{\omega} \right| = 2$,then the maximum distance of $\omega$ from the origin is:
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View SolutionIf $(a+ib)(c+id)(e+if)(g+ih)=A+iB,$ then show that: $(a^{2}+b^{2})(c^{2}+d^{2})(e^{2}+f^{2})(g^{2}+h^{2})=A^{2}+B^{2}$
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If $\alpha$ and $\beta$ are different complex numbers with $|\beta|=1,$ then find $\left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right|.$
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View SolutionIf $Z_1$ and $Z_2$ are conjugate complex numbers, match the items in Column-$I$ with Column-$II$:
Column-$I$ Column-$II$ $A. Z_1 Z_2$ $1. \text{imaginary axis}$ $B. Z_1 + Z_2 = 0$ $2. \text{Im}(-Z_2)$ $C. \text{Im}(Z_1)$ $3. |Z_1|^2$ $D. \text{Re}(Z_1)$ $4. \text{Re}(Z_2)$
| Column-$I$ | Column-$II$ |
| $A. Z_1 Z_2$ | $1. \text{imaginary axis}$ |
| $B. Z_1 + Z_2 = 0$ | $2. \text{Im}(-Z_2)$ |
| $C. \text{Im}(Z_1)$ | $3. |Z_1|^2$ |
| $D. \text{Re}(Z_1)$ | $4. \text{Re}(Z_2)$ |
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