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Q.
Domain of $\sqrt{a^{2}-x^{2}} \,\left(a > 0\right)$ is
Relations and Functions
Solution:
Let $f\left(x\right) = \sqrt{a^{2}-x^{2}}$
For $f\left(x\right)$ to be defined $a^{2} - x^{2} \ge 0$
$\Rightarrow x^{2} \le a^{2}$
$\Rightarrow x \in \left[-a, a\right]$