If `f(x)=(t+3x-x^2)/(x-4),` where `t` is a parameter that has minimum and maximum, then the range of values of `t` is `(0,4)` (b) `(0,oo)` `(-oo,4)` (d) `(4,oo)`

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

If the intercepts made by the line y=mx by lines x=2 and x=5 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

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)

Find the values of 1/x for the following values of x (2,5) (b ) [-5 ,-1] ( c) ( 3, oo) (d) (-3,oo) ( e) (-oo , 4)

The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the greatest integer less than or equal to x , is (a) R (b) [0,+oo) (c) (-oo,0) (d) none of these

If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the range of a for which g(f(x))=0 has no real solution is (A) (-oo,-2) (B) (-2,2) (C) (-2,oo) (D) (2,oo)

The domain of the function f(x)=1/(sqrt(|x|-x)) is: (1) (-oo,oo) (2) (0,oo (3) (-oo,""0) (4) (-oo,oo)"-"{0}

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

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)

If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at four distinct points and a=b^2-5b+7, then b does not lie in (a) [4,5] (b) (-oo,2)uu(3,oo) (c) (-oo,0) (d) [2,3]