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Three particles start from the origin at...

Three particles start from the origin at the same time, one with a velocity `v_(1)` along the x-axis, second along the 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:

A

`(a + b)/2`

B

`sqrt(ab)`

C

`(ab)/(a+ b)`

D

`(sqrt(2)ab)/(a +b)`

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The correct Answer is:
D
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