A uniform disc of radius \( R \) lies in the \( x-y \) plane, with its centre at origin. Its mom...

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A uniform disc of radius \( R \) lies in the \( x-y \) plane, with its centre at origin. Its moment of inertia about \( z \)-axis is equal to its moment of inertia about line \( y=x+c \). The value of \( c \) will be
(1) \( -\frac{R}{2} \)
(2) \( \pm \frac{R}{\sqrt{2}} \)
(3) \( +\frac{R}{4} \)
(4) \( -R \)
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