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Three particles A,B and C start from the...

Three particles `A,B` and `C` start from the origin at the same time,`A` with a velocity `a` along `x`-axis, `B` with a velocity `b` along `y`-axis and `C` with velocity `c` in `XY` plane along the line `x=y`.The magnitude of `c` so that the three always remain collinear is:

A

`(a+b)/2`

B

`sqrt(ab)`

C

`(ab)/(a+b)`

D

`(sqrt2ab)/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
D
comparing the slopes `(b-c/sqrt2)/(0-c/sqrt2)=(b-0)/(0-a)`
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