Two wires A & B are carrying currents I$$_1$$ and I$$_2$$ as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are:

A

$$x = \pm\frac{I_1 d}{(I_1 - I_2)}$$

B

$$x = \left(\frac{I_1}{I_1 + I_2}\right)d$$ and $$x = \frac{I_2}{(I_1 - I_2)}d$$

C

$$x = \left(\frac{I_2}{I_1 + I_2}\right)d$$ and $$x = \left(\frac{I_2}{I_1 - I_2}\right)d$$

D

$$x = \left(\frac{I_1}{I_1 - I_2}\right)d$$ and $$x = \frac{I_2}{(I_1 + I_2)}d$$