The displacement of a particle varies ac...

The displacement of a particle varies according to the relation `X=3 sin 100t+8 cos^(2)50t`. Which of the following `is//are` correct about this motion.

A

the motion of the particle is not `S,H.M`.

B

the amplitude of the `S.H.M.` of the particle is `5` units

C

the amplitude of the resulting `S.H.M.` si `sqrt(73)` units

D

the maximum displacement of the particle from the origin is `9` units.

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The correct Answer is:

B, D

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