Set of all real value of a such that `f(x)=((2a-1)+x^2+2(a+1)x+(2a-1))/(x^2-2x+40)` is always negative is `-oo,0` b. `0,oo` c. `-oo,1//2` d. none

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^(2)-1))<0 holds for all x in(-1,3) is (0,1) b.(oo,-1] c.(-oo,-1) d.(1,oo)

[ Suppose a in R .The set of values of a for which the quadratic equation x^(2)-2(a+1)x+a^(2)-4a+3=0 has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]

If S is the set of all real x such that (2x-1)/(2x^(3)+3x^(2)+x) is positive (-oo,-(3)/(2)) b.(-(3)/(2),(1)/(4)) c.(-(1)/(4),(1)/(2)) d.((1)/(2),3) e. None of these

The set of value(s) of a for which the function f(x)=(ax^(3))/(3)+(a+2)x^(2)+(a-1)x+2 possesses a negative point of inflection is (-oo,-2)uu(0,oo)( b) {-(4)/(5)}(-2,0)(d) empty set

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

The set of all values of x' which satisfies the inequation |1-(|x|)/(1+|x|)|>=(1)/(2) is: [-1,1] b.(-oo,-1] c.[1,oo) d.(0,1)

f(x)=1/(1+x^(2)),(-oo,0)toR

(lim_(x rarr oo)(sqrt(x^(2)-1))/(2x+1) is equal to 0b*-1c1/2d.1

The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3,oo) b. (-1,2)uu[3,oo) c. [-1,2]uu[3,oo) d. none of these