MCQ
If $M.D.$ is $12$, the value of $S.D.$ will be
- ✓$15$
- B$12$
- C$24$
- DNone of these
${\rm{S}}{\rm{.D}}{\rm{.}} = \frac{3}{2} \times {\rm{Q}}{\rm{.D}}{\rm{.}}$
$ = \frac{3}{2} \times 10$
==> ${\rm{S}}{\rm{.D}}{\rm{.}} = 15$.
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$(P)$ If $A \neq I_{2},$ then $|A|=-1$
$(\mathrm{Q})$ If $|\mathrm{A}|=1,$ then $\operatorname{tr}(\mathrm{A})=2$
where $I_{2}$ denotes $2 \times 2$ identity matrix and $\operatorname{tr}(A)$ denotes the sum of the diagonal entries of $A$ Then
($S1$) $f(x)=0$ for only one value of $x$ is $[0, \pi]$.
($S2$) $\mathrm{f}(\mathrm{x})$ is decreasing in $\left[0, \frac{\pi}{2}\right]$ and increasing in $\left[\frac{\pi}{2}, \pi\right] .$