Position vector of a particle moving in \( x y \) plane at time \( t \) is \( \vec{r}=a(1-\cos \....
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Position vector of a particle moving in \( x y \) plane at
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time \( t \) is \( \vec{r}=a(1-\cos \omega t) \hat{i}+a \sin \omega t \hat{j} \). The path of
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the particle is
(A) a circle of radius a and center at \( (a, 0) \)
(B) a circle of radius a and center at \( (0,0) \)
(C) an ellipse
(D) neither a circle nor an ellipse
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