A rigid rod of length \( \ell \) is in contact with a P vertical wa...

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A rigid rod of length \( \ell \) is in contact with a
P vertical wall with its other end in contact with a horizontal floor. Point A moves with a W constant velocity. The path along which the midpoint of the rod moves is
(1) a straight line not passing through the origin
(2) a parabola with \( \mathrm{X} \) and \( \mathrm{Y} \) axes as its tangents
(3) a rectangular hyperbola
(4) a circle of radius \( \ell / 2 \) with its centre at the origin
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