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Let f(x)= sin x +ax +b, then which of th...

Let `f(x)= sin x +ax +b`, then which of the following is/are true-

A

`f(x)=0` has only one root which is positive if `a gt 1, b lt 0`

B

`f(x)=0` has only one real root which is negative if `a gt 1, b gt 0`

C

`f(x)=0` has only one real root which is negative if `a lt -1, b lt 0`

D

none of these

Text Solution

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The correct Answer is:
A, B, C
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