MCQ
If $v$ is the variance and $\sigma$ is the standard deviation, then:
- A$\text{v}=\frac{1}{\sigma^2}$
- B$\text{v}=\frac{1}{\sigma}$
- ✓$\text{V}=\sigma^2$
- D$\text{V}=\sigma$
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[Note: Here $z$ takes the values in the complex plane and $\operatorname{Im} z$ and $\operatorname{Re} z$ denote, respectively, the imaginary part and the real part of $z]$
| column-$I$ | column-$II$ |
| $(A)$ The set of points $z$ satisfying $|z-i| z||=|z+i| z||$ is contained in or equal to | $(p)$ an ellipse with eccentricity $\frac{4}{5}$ |
| $(B)$ The set of points $z$ satisfying $|z+4|+|z-4|=10$ is contained in or equal to | $(q)$ the set of points $z$ satisfying $\operatorname{Im} z=0$ |
| $(C)$ If $|\omega|=2$, then the set of points $z=\omega-1 / \omega$ is contained in or equal to | $(r)$ the set of points $z$ satisfying $|\operatorname{Im} z| \leq 1$ |
| $(D)$ If $|\omega|=1$, then the set of points $z=\omega+1 / \omega$ is contained in or equal to | $(s)$ the set of points $z$ satisfying $|\operatorname{Re} z| \leq 1$ |
| $(t)$ the set of points $z$ satisfying $|z| \leq 3$ |