Let . Then…

MATHEMATICS · Multi correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let f(x)=sin⁡x+ax+bf(x)=\sin x+ax+b. Then f(x)=0f(x)=0 has (1) Only one real root which is positive, if a>1a>1, b<0b<0 (2) Only one real root which is negative, if a>1a>1, b>0b>0 (3) Only one real root which is negative, if a<−1a<-1, b<0b<0 (4) None of the above

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