The motion of a particle varies with time according to the relation...

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The motion of a particle varies with time according to the relation \( y=a(\sin \omega t+\cos \omega t) \), then
[BHU 2006]
\( \mathrm{P} \)
(a) The motion is oscillatory but not S.H.M.
(b) The motion is S.H.M. with amplitude a
W
(c) The motion is S.H.M. with amplitude \( a \sqrt{2} \)
(d) The motion is S.H.M. with amplitude \( 2 a \)
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