A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field \(E\hat{i}\) and a uniform magnetic field \(B\hat{k}\) follows a trajectory from point P to Q as shown in figure. The velocities at P and Q are respectively, \(v\hat{i}\) and \(-2v\hat{j}\). Then which of the following statements (A, B, C, D) are the correct ? (Trajectory shown is schematic and not to scale) :

(A) \(E=\frac{3}{4}\left(\frac{mv^2}{qa}\right)\)
(B) Rate of work done by the electric field at P is \(\frac{3}{4}\left(\frac{mv^3}{a}\right)\)
(C) Rate of work done by both the fields at Q is zero
(D) The difference between the magnitude of angular momentum of the particle at P and Q is \(2mav\).