Let $A$ be the set of circles in the plane with center $(0,0)$ and let $B$ be the set of circles in the plane with center $(-2,3)$.
Furthermore, let $P(C_1,C_2)\colon C_1$ and $C_2$ have exactly one point in common, be an open sentence where the domain of $C_1$ is $A$ and the domain of $C_2$ is $B$.
How do I find the truth value of the above statement: There exists a circle with center $(0,0)$ in $A$ such that for all circles with center $(-2,3), C_1$ and $C_2$ have exactly one point in common?