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 `(-oo,-2)uu(0,oo)` (b) `{-4/5}` `(-2,0)` (d) empty set

if the complete set of values (s) of 'a' for which the function f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2 possess a negative point of inflection is (-oo, alpha),uu(beta,oo)" then " |alpha|+|beta| is :

The exhaustive set of value of 'a' for which the function f(x)=(a)/(3)(x^(3)+(a+2)x^(2)+(a-1)x+2 possess a negative point of minima is (q,oo) The value of q is

The set of all values of a'a' for which the quadratic equation 3x^(2)+2(a^(2)-3a+2)=0 possess roots of opposite sign,is a.(-oo,1) b.(-oo,0) c.(1,2) d.(3/2,2)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)(cot x)/(2)(sin^(2)x)/(2) does not possess critical points is (-oo,-(4)/(3)) (b) (-oo,-1)(c[1,oo)(d)(2,oo)

The set off all values of m for which both the roots of the equation x^(2)-(m+1)x+m+4=0 are real and negative is (-oo,-3]uu[5,oo)(b)[-3,5] (c) (-4,-3](d)(-3,-1]

[ 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]]

The set of all values of a for which the function f(x)=(a^(2)-3a+2)(cos^(2)backslash(x)/(4)-sin^(2)backslash(x)/(4))+(a-1)x+sin1 does not possess critical points is (A) [1,oo)(B)(0,1)uu(1,4)(C)(-2,4)(D)(1,3)uu(3,5)

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)

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