Question

Domain of √(a² - x²) (a > 0) is 

A. (– a, a)  

B. [– a, a] 

C. [0, a] 

D. (– a, 0]

Answer 1

Given: 

To find: the domain of the given function

Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

let,

f(x) = 

Now for real value

a²-x²≥0

⇒ x²≥ a²

⇒ x≥±a

Or –a ≤ x ≤ a

Hence the domain of given function is = [-a, a]

So, the correct answer is option (B)