Q 1314891750.     The displacement `x` of a particle varies with time `'t'` as `x=ae^{-alpha t}+b e^{beta t}` where `a,b,alpha, beta` are positive constants. The velocity of the particle will

A

drop to zero when `alpha = beta`

B

be independent of `alpha` and `beta`

C

go on increasing with time

D

go on decreasing with time

HINT

`v= frac{dx}{dt}`

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