Q. Domain of $a^{2} - x^{2} (a > 0)$ is

3230 261 Relations and Functions Report Error

A

$(- a, a)$

19%

B

$[- a, a]$

47%

C

$[0, a]$

24%

D

$(- a, 0]$

10%

Solution:

Let $f (x) = a^{2} - x^{2}$
For $f (x)$ to be defined $a^{2} - x^{2} \geq 0$
$\Rightarrow x^{2} \leq a^{2}$
$\Rightarrow x \in [- a, a]$