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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

$\begin{array}{1 1}(A)\;-4 \\(B)\;4 \\(C)\;4 \sqrt 2 \\ (D)\; 8 \end{array}$

The amplitude of the particle is $4 \sqrt 2$