If `(x^(2)-x)/(1-ax)` attains all real values `(x in R)` then possible value of a are `
` `(A) (-oo , 1) `
` (B) (1, oo) `
`(C) [1, oo) `
` (D)(1, 2)`

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

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

e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (a) a in (-oo,0) (b) a in (-oo,0] (c) a in R (d) a in (-oo,2]

If cos^(2)x-(c-1)cos x+2c>=6 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 equation ((x)/(1+x^(2)))^(2)+a((x)/(1+x^(2)))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/(2),0) (b) (oo,-(13)/(2))((-13)/(2),(13)/(2))(d)((13)/(2),oo)

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

If e^(x)+e^(f(x))=e, then the range of f(x) is (-oo,1](b)(-oo,1)(1,oo)(d)[1,oo)

If lim_(xto oo)((x^(2)+1)/(x+1)-ax-b)=oo find a and b.

The range of (x ^ (2) -2x + 3) / (x ^ (2) -2x-8) AA x in R is (i) (- oo, 0] uu [1, oo) (ii) [ (1) / (2), 2] (iii) (- oo, - (2) / (9)] uu [1, oo) (iv) (oo, -6] uu ([- 2, oo)