Two particles \( \dot{X} \) and \( \mathrm{Y} \) are respectively m...

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Two particles \( \dot{X} \) and \( \mathrm{Y} \) are respectively moving on the circular path and regular hexagon as shown.
\( \mathrm{P} \)
\( \mathrm{O} \) is centre of circle and hexagon both. When both
W
\( \mathrm{X} \) and \( \mathrm{Y} \) have moved from point \( \mathrm{A} \) to point \( \mathrm{D} \), the
ratio of distance moved by \( \mathrm{X} \) to magnitude of
displacement of \( \mathrm{Y} \) is -
(1) \( \frac{\pi}{4} \)
(2) \( \frac{\pi}{2} \)
(3) \( \pi \)
(4) \( 2 \pi \)
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