Two ideal batteries of  $$emfV_1$$ and $$V_2$$ and three resistances $$R_1, R_2$$ and $$R_3$$ are connected as shown in the figure. The current in resistance $$R_2$$ would be zero if

A

$$V_1 = V_2$$ and $$R_1 = R_2 = R_3$$

B

$$V_1 = V_2$$ and $$R_1 = 2R_2 = R_3$$

C

$$V_1 = 2V_2$$ and $$2R_1 = 2R_2 = R_3$$

D

$$2V_1 = V_2$$ and $$2R_1 = R_2 = R_3$$