The displacement of a particle varies with time according to the relation, \(y=a~\text{sin} \omega t+b~\text{cos} \omega t.\)

1. the motion is oscillatory but not SHM
2. the motion is SHM with amplitude \(a+b\)
3. the motion is SHM with amplitude \(a^{2}+b^{2}\)
4. the motion is SHM with amplitude \(\sqrt{a^{2}+b^{2}}\)