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The displacement of a particle varies with time according to the relation \( y=a \sin \omega t+b \cos \omega t \)
[NCERT Exemplar]
\( \mathrm{P} \)
(a) The motion is oscillatory but not SHM
(b) The motion is SHM with amplitude \( a+b \)
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(c) The motion is SHM with amplitude \( a^{2}+b^{2} \)
(d) The motion is SHM with amplitude \( \sqrt{a^{2}+b^{2}} \)
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