MCQ
$a + i b > c + id$ can be explained only when:
- A$b = 0, c = 0$
- ✓$b = 0, d = 0$
- C$a = 0, c = 0$
- D$a = 0, d = 0$
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$\lim _{x \rightarrow \infty} \frac{\sin \left(x^2\right)\left(\log _e x\right)^\alpha \sin \left(\frac{1}{x^2}\right)}{x^{\alpha \beta}\left(\log _e(1+x)^\beta\right.}=0$
Then which of the following is (are) correct?
$(A)$ $(-1,3) \in S$ $(B)$ $(-1,1) \in S$ $(C)$ $(1,-1) \in S$ $(D)$ $(1,-2) \in S$
| $X_i$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ |
| $f_i$ | $k+2$ | $2k$ | $K^{2}-1$ | $K^{2}-1$ | $K^{2}-1$ | $k-3$ |
where $\sum f_i=62$. if $[x]$ denotes the greatest integer $\leq x$, then $\left[\mu^2+\sigma^2\right]$ is equal $.........$.