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Six charges are placed around a regular hexagon of side length a as shown. Five of them have charge q, and the remaining one has charge x. The perpendicular from each charge to the nearest hexagon side passes through the center O of the hexagon and is bisected by the side. Which of the following statement(s) is (are) correct?
(A) When x=q the magnitude of the electric field at O is zero.
(B) When x=-q the magnitude of the electric field at O is q/[6(pi)(epsilon0)(a^2)].
(C) When x=2q the potential at 0 is 7q/[4(SQRT(3))(pi)(epsilon0)a].
(D) When x=-3q the potential at 0 is 3q/[4(SQRT(3))(pi)(epsilon0)a].

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