Ans: A
Note that $-h$ denotes the perpendicular distance between the centre and the $y$-axis, $k$ denotes the perpendicular distance between the centre and the $x$-axis. Then according to the figure, we have $k > r > -h$.
Note that $-h$ denotes the perpendicular distance between the centre and the $y$-axis, $k$ denotes the perpendicular distance between the centre and the $x$-axis. Then according to the figure, we have $k > r > -h$.
I is true. Since $k > -h$, then $h+k > 0$.
II is true. Since $r > 0$ and $-h > 0$, then $r-h > 0$.
III is false. Since $k > r$, then $r-k < 0$.