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

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 a. (-oo,0) b. (0,oo) c. (-oo,1/2) d. none

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 a. (-oo,0) b. (0,oo) c. (-oo,1/2) d. none

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 a. -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)

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)

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 a. (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

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

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

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these