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Two particles A and B move with constant...

Two particles A and B move with constant velocity `vec(v_1)` and `vec(v_2)` along two mutually perpendicular straight lines towards intersection point O as shown in figure, At moment t = 0 particles were located at distance `l_1` and `l_2` respectively from O. Then minimu distance between the particles and time taken are respectively

A

`(|l_1 v_2 - l_2v_1|)/(sqrt(v_1^2 + v_2^2)) , (l_1 v_1 + l_2 v_2)/(v_1^2 + v_2^2)`

B

`(|l_1 v_1 - l_2v_2|)/(sqrt(v_1^2 + v_2^2)) , (l_1 v_2 + l_2 v_1)/(v_1^2 + v_2^2)`

C

`(|l_1 v_2 - l_2v_1|)/(sqrt(v_1^2 + v_2^2)) , sqrt((l_1)/(l_2)), ((l_1 v_1 + l_2 v_2)l_1)/((v_1^2 + v_2^2)l_2)`

D

`(|l_1 v_2 - l_2v_1|)/(sqrt(v_1^2 + v_2^2)) , sqrt((l_1)/(l_2)), ((l_1 v_1 + l_2 v_2)l_2)/((v_1^2 + v_2^2)l_1)`

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