Let f : [-10,10] → → R, where f(x) = sin x + [x 2 /a] be an…

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f : [-10,10] → → R, where f(x) = sin x + [x 2 /a] be an odd function. Then set of values of parameter ‘a’ is/are:

(–10, 10) – {0}

(0, 10)

[100, ∞ ∞ )

(100, ∞ ∞ )

Text Solution

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The correct answer is:

Since f(x) is an odd function, = 0 for all x ∈ ∈ [-10, 10]

⇒ ⇒ < 1 for all x ∈ ∈ [–10, 10] ⇒ ⇒ a > 100

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