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`

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 1, b 1, b > 0. non eoft h e s e

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 1, b 1, b > 0. (d) none of these

Let f(x)=sin x+ax+b. Then which of the following is/are true? f(x)=0 has only one real root which is positive if a>1,b 1,b 1,b>0. none of these

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 1, b>0. (c) f(x)=0 has only one real root which is negative if a <-1, b < 0. (d) none of these

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 (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 (d) none of these

Let f(x)=x sin(e^((1)/(x))) for x!=0 and for x=0 which of the following is true?

Let g(x)=int_0^(e^x) (f\'(t)dt)/(1+t^2) . Which of the following is true?

Let f(x)=ax^3+bx^2+x+d has local extrema at x=alpha and beta such that alphabetalt0 and f(alpha).f(beta)gt0 . Then the equation f(x)=0 (A) has 3 distinct real roots (B) has only one real which is positive o a.f(alpha)lt0 (C) has only one real root, which is negative a.f(beta)gt0 (D) has 3 equal roots

If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 has only one real root, then which of the following is true? b=0, a >0 b. b=0, a 0, a >0

If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 has only one real root, then which of the following is true? b=0, a >0 b. b=0, a 0, a >0