MCQ
Domain of $\sqrt{\text{a}^{2} -\text{x}^{2}} (\text{a} > 0)$ is:
- A$(-a, a)$
- ✓$(-a, a)$
- C$(0, a)$
- D$(-a, 0)$
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where $A = {\sin ^2}\alpha - \sin \alpha + \frac{1}{4}$
and $B = {\tan ^2}\alpha + \frac{2}{{\sqrt 3 }}\tan \alpha + \frac{1}{3}$ , then the number of value $(s)$ of $\alpha $ in $\left[ { - \frac{{3\pi }}{2},2\pi } \right]$ is - (where $sgnx$ denotes signum function of $x$ )