Mass is distributed uniformly over a thin square plate. If two end points of a diagonal are (-2, 0) and (2, 2), what are the co-ordinates of the centre of mass of plate?

The center of mass of a square plate will be located at the point of intersection of diagonals, and the square's two diagonals are bisected.

So the center of mass of the square plate will be at the mid of the diagonal

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{-2+2}{2},\frac{0+2}{2}\right)=\left(0,1\right)$