$-66$ A particle moves along a circular path over a horizontal $xy$ coordinate system, at constant speed. At time $t_1=4\mathrm{.}00s,$ it is at point $(5\mathrm{.}00m,6\mathrm{.}00m)$ with velocity $(3\mathrm{.}00\frac{m}{s})hat(j)$ and acceleration in the positive $x$ direction. At time $t_2=10\mathrm{.}0s,$ it has velocity $(-3\mathrm{.}00\frac{m}{s})hat(i)$ and acceleration in the positive $y$ direction. What are the $($a$)x$ and $($b$)y$ coordinates of the center of the circular path if $t_2-t_1$ is less than one period?