If m is the minimum value of k for which the function f(x) = x√ (kx - x2) is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :
(1) (5,3√6)
(2) (4,3√3)
(3) (4,3√2)
(4) (3, 3√3)
