Question

Domain of `sqrt(a^2 - x^2)  (a > 0)` is ______.

पर्याय

• (– a, a)

• [– a, a]

• [0, a]

• (– a, 0]

Answer 1

Domain of `sqrt(a^2 - x^2)  (a > 0)` is [– a, a].

Explanation:

Let f(x) = `sqrt(a^2 - x^2)`

f(x) is defined if a² – x² ≥ 0

⇒ x² – a² ≤ 0

⇒ x² ≤ a²

⇒ x ≤ ± a

⇒ – a ≤ x ≤ a

∴ Domain of f(x) = [– a, a]