Range of vlaues of `f(x)` is (A) `(-oo, 3/4]` (B) `[ 3/4, oo)` (C) `[ 1/3, 3]` (D) none of these

If expression x^2-4cx+b^2gt0 for all x epsilon R and a^2+c^2ltab then range of the function (x+a)/(x^2+bx+c^2) is (A) (0,oo) (B) (0,oo) (C) (-oo,oo) (D) none of these

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

If log_(3)(x^(2)-6x+11)<=1, then the exhaustive range of values of x is: (-oo,2)uu(4,oo)(b)(2,4)(-oo,1)uu(1,3)uu(4,oo)(d) none of these

The equation cos^(8)x+b cos^(4)x+1=0 will have a solution if b belongs to (A)(-oo,2] (B) [2,oo](C)[-oo,-2](D) none of these

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

The domain of the function f(x)=sqrt(x-1)+sqrt(6-x) is (a) [1,oo)(c)[1,6](b)(-oo,6)(d) None of these

Let f: R->R be a function such that f(x)=a x+3sinx+4cosxdot Then f(x) is invertible if (a)a in (-5,5) (b) a in (-oo,5) (c)a in (-5,+oo) (d) none of these

Let f(x) be a quadratic expression such that f(-1)+f(2)=0 . If one root of f(x)=0 is 3 , then the other root of f(x)=0 lies in (A) (-oo,-3) (B) (-3,oo) (C) (0,5) (D) (5,oo)

Let f(x) be a quadratic expression such that f(-1)+f(2)=0 . If one root of f(x)=0 is 3 , then the other root of f(x)=0 lies in (A) (-oo,-3) (B) (-3,oo) (C) (0,5) (D) (5,oo)

Consider the cubic f(x)=8x^(3)+4ax^(2)+2bx+a where a,b in R. For a=1 if y=f(x) is strictly increasing AA x in R then maximum range of values of b is (-oo,(1)/(3)](b)((1)/(3),oo)[(1)/(3),oo) (d) (-oo,oo)