Three particles start from the origin at the same time, one with a velocity `v_(1)` along the x-axis, second along the negative y-axis with a velocity `v_(2)` and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

Options

A. `(v_1 + v_2)/(2)`
B. `sqrt(v_1 + v_2)`
C. `(v_1 v_2)/(v_1 + v_2)`
D. `v = (sqrt(2)v_1 v_2)/(v_1 - v_2)`

Answer

D