The values of `'a'` for which the quadraic expression `ax^(2)+(a-2)x-2` is negative for exactly two integral values of `x`, belongs to

The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 is positive for exactly two integral values of x is

All the values of ' a ' for which the quadratic expression a x^2+(a-2)x-2 is negative for exactly two integral values of x may lie in [1,3/2] (b) [3/2,2) [1,2) (d) [-1,2)

The number of integral values of alpha for which the quadratic expression alpha x^(2)+|2 alpha-3|x-6 is positive for exactly two integral values of x is equal to

The set of values of 'a' for which f(x)=ax^(2)+2x(1-a)-4 is negative for exactly three integral values of x, is-

The set of values of 'a' for which ax^(2)-(4-2a)x-8lt0 for exactly three integral values of x, is

Largest integral value of 'a' for which the expression y=x^(2)+ax+(a-3) is non positive x in[0,1] is

If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :