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Two simple harmonic motions are given by...

Two simple harmonic motions are given by `x_(1) = a sin omega t + a cos omega t and x_(2) = a sin omega t + (a)/(sqrt3) cos omega t`
The ratio of the amplitudes of first and second motion and the phase difference between them are respectively

A

`sqrt((3)/(2)) and (pi)/(12)`

B

`(sqrt3)/(2) and (pi)/(12)`

C

`(2)/(sqrt3) and (pi)/(12)`

D

`sqrt((3)/(2)) and (pi)/(6)`

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