A bead slides on a wire in the form of a cycloid described by x= a(0-sine), y=a(1+cose) ;00 2T Defined by lagrangian L = T - V. The independent constants of motion is/are (a) Energy and x-component of linear momentum (b) Energy, y-component of linear momentum and z- component of angular momentum (c) x- component of linear momentum only (d) x- component of linear momentum and z- component of angular momentum