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

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

Find the values of a, for which the quadratic expression ax^2 + (a - 2) x - 2 is negative for exactly two integral values of x .

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 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

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 (a) [1,3/2] (b) [3/2,2) (c) [1,2) (d) [-1,2)

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 (a) [1,3/2] (b) [3/2,2) (c) [1,2) (d) [-1,2)

The number of integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is