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