Two particles \( A \) and \( B \) move with velocities \( v_{1} \) ...

Two particles \( A \) and \( B \) move with velocities \( v_{1} \) and \( v_{2} \) respectively along the \( x \& y \) axis. The initial separation between them is ' \( d \) ' as shown in the figure. Find the least distance between them during their motion.
(A \( \frac{\text { d. } v_{1}^{2}}{v_{1}^{2}+v_{2}^{2}} \)
(B) \( \frac{\text { d. } v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}} \)
(C) \( \frac{\text { d.v }}{\sqrt{v_{1}^{2}+v_{2}^{2}}} \)
(D) \( \frac{d \cdot v_{2}}{\sqrt{v_{1}^{2}+v_{2}^{2}}} \)