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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} $

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A)
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The amplitude of the particle is $4 \sqrt 2$
Hence C is the correct answer.
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