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when two displacements represented by y(...

when two displacements represented by `y_(1) = a sin(omega t)` and `y_(2) = b cos (omega t)` are superimposed the motion is

A

simple harmonic with amplitude `sqrt(a^(2)+b^(2))`

B

simple harmonic with amplitude `((a+b))/(2)`

C

not a simple harmonic

D

simple harmonic with amplitude `(a)/(b)`

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The correct Answer is:
A
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