Three particles start from origin at the same time: one with velocity `v^(1)` along positive x-axis, the second along the positive y-axis with a velocity `v^(2)` and the third along the line y = x with such a speed that all the three always stay in a straight line, then velocity of the third particles is:

Options

A. `sqrt(v_(1)v_(2))`
B. `(v_(1)+v_(2))/(2)`
C. `(v_(1)v_(2))/(sqrt(v_(1)^(2)+v_(2)^(2)))`
D. `(v_(1)v_(2)sqrt2)/(v_(1)+v_(2))`

Answer

D