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Three particles starts from origin at the same time with a velocity `2 ms^-1` along positive x-axis, the second with a velocity `6 ms^-1` along negative y-axis, Find the velocity of the third particle along `x = y` line so that the three particles may always lie in a straight line.

A

` - 3 sqrt(3)`

B

`3 sqrt(2)`

C

`- 3 sqrt(2)`

D

`2 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Slope `AB =` slope `AC`
`(2t - 0)/(0 + 6t) = (2t - (vt)/(sqrt(2)))/(0 - (vt)/(sqrt(2)))`
Solve to get `v = 3 sqrt(2) m//s`.
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