If α, β are roots of the quadratic equation and if there are at least four negative integers between α and β,

Question

Consider the quadratic equation ax² + (2 - a)x - 2 = 0 where a ∈ R.

If α, β are roots of the quadratic equation and if there are at least four negative integers between α and β, then the complete set of values of a is

(A)  (-7/2, -3)

(B)  (0, 1/2)

(C)  (-3/2, -1/2)

(D)  (7/2,3)

Answer 1

Correct option  (B) (0,1/2)

Explanation: