A uniform rectangular thin sheet $ABCD$ 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
A uniform rectangular thin sheet $ABCD$ 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
$\left( {\frac{{5a}}{3},\frac{{5b}}{3}} \right)$
- B
$\left( {\frac{{2a}}{3},\frac{{2b}}{3}} \right)$
- C
$\left( {\frac{{3a}}{4},\frac{{3b}}{4}} \right)$
- D
$\left( {\frac{{5a}}{12},\frac{{5b}}{12}} \right)$
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