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The displacement of a particle varies with time according to the relation `y = a sin ωt + b cos

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in 11th Physics by (6.7k points)
The displacement of a particle varies with time according to the relation `y = a sin ωt + b cos ωt`.
Options:
(a) The motion is oscillatory but not S.H.M.
(b) The motion is S.H.M. with amplitude `a + b`.
(c) The motion is S.H.M. with amplitude `a ^2 + b^ 2` .
(d) The motion is S.H.M. with amplitude `sqrt(a ^2 + b^ 2)` .

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