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A rod of length is moving such that its ends A and B move in contact with the horizontal floor and vertical wall respectively as shown in figure. O is the intersection point of the vertical wall and horizontal floor. The velocity vector of the centre of rod C is always directed along tangent drawn at C to the –

 circle of radius whose centre lies at O
 circle of radius whose centre lies at O
 None of these
The correct answer is: circle of radius whose centre lies at O
At any instant of time the rod makes an angle q with horizontal, the x & y coordinates of centre of rod are
Hence the centre C moves along a circle of radius lwith centre at O. \ velocity vector of C is always directed along the tangent drawn at C to the circle of radius l whose centre lies at O.
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