Let f : [-10,10] → R, where f(x) = sin x + [x2/a] be an odd function. Then set of values of parameter ‘a’ is/are:
Answer & explanation
Correct answer: option 4
Since f(x) is an odd function,
$[\frac{x^2}{a}]= 0$ for all x ∈ [-10, 10]
⇒ $0≤ \frac{x^2}{a}< 1$ for all x ∈ [-10, 10] ⇒ a > 100.
Hence (D) is the correct answer.