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A uniform rectangular thin sheet ABCD of mas 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 - O (0, b) (a, b) (0, 0) (a, 0) E G A B D C F ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 b , 2 a H

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 b 5 , 3 a 5
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 b 2 , 3 a 2
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 12 b 5 , 12 a 5
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 b 3 , 4 a 3

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 12 b 5 , 12 a 5

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