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Let f(x)=sinx+ax+b.Then which of the fol...

Let f(x)=sinx+ax+b.Then which of the following is/are true?

A

only one real root which is positive if `a gt 1, b lt 0`

B

only one real root which is negative if `a gt 1, b gt 0`

C

only one real root which is negative if `alt -1, b lt 0`

D

none of these

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The correct Answer is:
A, B, C
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