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

For the equation cos^(-1)x+cos^(-1)2x+pi=0 ,the number of real solution is (A)1(B) 2 (C) 0 (D) oo

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

The equation |x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4)(b)(-oo,0)(4,oo)(d) none of these

The complete set of values of a so that equation sin^(4)x+a sin^(2)x+4=0 has at least one real root is (A)(-oo,-5] (B) (-oo,4]uu[4,oo)(C)(-oo,-4](D)[4,oo)

The inequality (2)/(x)<3 is true,when X belongs to (A)[(2)/(3),oo](B)[-oo,(2)/(3)](c)((2)/(3).oo)uu(oo,0)(D) none of these

The set of values of a for which x^2+ax+sin^-1 (x^2-4x+5) +cos^-1 (x^2-4x+5)=0 has at least one solution is (A) (-oo, -sqrt(2pi)] cup[sqrt[(2pi, oo] (B) (-oo, -sqrt(2pi)] cup[sqrt((2pi, oo) (C) R (D) none of these

Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < g(x) for all x belong to (a) (0,oo) (b) (-oo,0) (c) (-oo,oo) (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

Q.The set of all the solutions of the inequality log_(1-x)(x-2)>=-1 is (A)(-oo,0)(B)(2,oo)(C)(-oo,1)

The domain of definition of the function f(x)=ln{x}+sqrt(x-2{x}) is: (where { } denotes fractional part function) (A) (1,oo) (B) (0,oo) (C) (1,oo)~I^(+) (D) None of these