Pathfinder Rotation MCQ 2

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Q.2

A disc placed on a frictionless horizontal plank is rotating with a constant angular velocity w about its central vertical axis. Now the plank is made to move with a constant acceleration a on a straight path. If you assume initial location of the centre of disc as origin, direction of motion of the plank in negative y-axis of the coordinate system attached with the plank, which of the following equations represent trajectory of instantaneous centre of rotation of the disc.