VTMO 2026 - Grade 10 - Semifinal - SET 1 - Self-study Question 4

In the coordinate plane $Oxy$, a circle with centre $K$ passes through $A(2,3)$ and $B(22,33)$. It meets the $x$-axis at $C,D$, both with positive $x$-coordinates, and $CD=2$. The midpoint of $CD$ is $M(t,0)$. Find $t$.