MathematicsMedium175×since 2002Q2711If m is the minimum value of k for which the function f(x) = xkx−x2\sqrt {kx - {x^2}}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 :A(5,36)\left( {5,3\sqrt 6 } \right)(5,36)B(4,33)\left( {4,3\sqrt 3 } \right)(4,33)C(4,32)\left( {4,3\sqrt 2 } \right)(4,32)D(3,33)\left( {3,3\sqrt 3 } \right)(3,33)Check answerSkip