The range of `a` for which the equation `x^2+ax-4=0` has its smaller root in the interval `(-1,2)i s ` a. `(-oo,-3)` b. `(0,3)` c. `(0,oo)` d. `(-oo,-3)uu(0,oo)`

The range of a for which the equation x^2+ax−2=0 has its smaller root in the interval (−1,-3) is

Th range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-oo,oo) is

For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is (-oo,-7]uu[1,oo) b. (-3,oo) c. (-oo,-7) d. [1,oo)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cotx/2sin^2x/2 does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x ) has no integral solution, then all possible values of a lie in the interval: (1) (-2,-1) (2) (oo,-2) uu (2,oo) (3) (-1,0) uu (0,1) (4) (1,2)

The values of a for which the integral int_0^2|x-a|dxgeq1 is satisfied are (a) (2,oo) (b) (-oo,0) (c) (0,2) (d) none of these

The range of values of alpha for which the line 2y=gx+alpha is a normal to the circle x^2=y^2+2gx+2gy-2=0 for all values of g is (a) [1,oo) (b) [-1,oo) (c) (0,1) (d) (-oo,1]

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (a) (-oo,-2) (b) -2,-1) (c) (1,2) (d) (2,+oo)

The domain of f(x)="log"|logx|i s (a) (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo) (d) (-oo,1)