The displacement of a particle varies according to the relation \( ...

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The displacement of a particle varies according to the relation \( x=4(\cos \pi t+\sin \pi t) \). The amplitude of the particle is
\( \mathrm{P} \)
[AIEEE 2003]
(a) 8
(b) \( -4 \)
(c) 4
(d) \( 4 \sqrt{2} \)
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