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The transverse displacement y(x, t) of a...

The transverse displacement `y(x, t)` of a wave on a string is given by `y(x, t)= e ^(-(ax^(2) + bt^(2) + 2sqrt((ab))xt)`. This represents a :

A

wave moving in `-x` direction with speed `sqrt((b)/(a))`

B

standing wave of frequency `sqrtb`

C

standing wave of frequency `(1)/(sqrt(b))`

D

wave moving in `+x` direction with speed `sqrt((a)/(b))`

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