Let `x^2 - 2(a - 1)x + a - 1 = 0 (a in R)` be a quadratic equation, then find the values of `a` for which
(i) Exactly one root lies in `(0,1)`
(ii) Both roots lies in `(0, 1)`.
(iii) Atleast one root lies in `(0,1)`.
(iv) One root is greater than `1` and other root is smaller than `0.`