A uniform rectangular thin sheet \( A B C D \) of mass \( M \) has length \( a \) and breadth \(...

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A uniform rectangular thin sheet \( A B C D \) of mass \( M \) has length \( a \) and breadth \( b \), as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be
[JEE (Main) 2019]
(a) \( \left(\frac{2 a}{3}, \frac{2 b}{4}\right) \)
(b) \( \left(\frac{3 a}{4}, \frac{3 b}{4}\right) \)
(c) \( \left(\frac{5 a}{12}, \frac{5 b}{12}\right) \)
(d) \( \left(\frac{5 a}{3}, \frac{5 b}{3}\right) \)
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