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Let f(x)=sinx+a x+bdot Then which of the...

Let `f(x)=sinx+a x+bdot` Then which of the following is/are true? (a) `f(x)=0` has only one real root which is positive if `a >1, b<0.` (b)`f(x)=0` has only one real root which is negative if `a >1, b<0.` (c)`f(x)=0` has only one real root which is negative if `a >1, b > 0.` (d) none of these

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 `a lt -1 , b lt 0`

D

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

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