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Let f:[-10, 10]->R ,w h e r ef(x)=sinx+[...

Let `f:[-10, 10]->R ,w h e r ef(x)=sinx+[(x^2)/a],` be an odd function. Then the set of values of parameter `a` is/are (a) `(-10 ,10)~{0}` (b) `(0, 10)` (c) `[100 ,oo)` (d) `(100 ,oo)`

A

`(-10,10) ~{0}`

B

`(0,10)`

C

`[100, oo)`

D

`(100,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since `f(x)` is an odd function,
`[(x^(2))/(a)]=0 " for all "x in [-10,10]`
`or 0 le (x^(2))/(a) lt 1 " for all " x in [-10,10] or a gt 100`
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