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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? `f(x)=0` has only one real root which is positive if `a >1, b<0.` `f(x)=0` has only one real root which is negative if `a >1, b<0.` `f(x)=0` has only one real root which is negative if `a >1, b > 0.` `non eoft h e s e`

A

only one real root which is positive, if `agt1,blt0`

B

only one real root which is negative, if `agt1,bgt0`

C

only one real root which is negative, if `alt-1,blt0`

D

None of the above

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  13. If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc, then in (-oo,oo)

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  14. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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