If `(log)_3(x^2-6x+11)lt=1,` then the exhaustive range of values of `x` is: (a) `(-oo,2)uu(4,oo)` (b) `(2,4)` (c) `(-oo,1)uu(1,3)uu(4,oo)` (d) none of these

If the intercepts made by the line y=mx by lines y=2 and y=6 is less than 5, then the range of values of m is a. (-oo,-4/3)uu(4/3,oo) b. (-4/3,4/3) c. (-3/4,4/3) d. none of these

If f(x)=int_(0)^(x)log_(0.5)((2t-8)/(t-2))dt , then the interval in which f(x) is increasing is (a) (-oo,2)uu(6,oo) (b) (4,6) (c) (-oo,2)uu(4,oo) (d) (2,6)

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,oo) (d)none of these

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

If cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of values of c is (a) (2,oo) (b) (4,oo) (c) (-oo,-2) (d) (-oo,-4)

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

The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (a) (-oo,-3]uu(2,5) (b) (-oo,-3)uu(2,5) (c) (-oo,-3]uu[2,5] (d) none of these

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

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

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0 , then the set of values of a is (A) (-oo,3)uu(9/2,oo) (B) (3,9/2) (C) (-oo,3) (D) (9/2,oo)