Question 111
A finite number of points are drawn in the plane. Prove that one can select two of them, $A$ and $B$, such that:
a. $A$ and $B$ are not the same point.
b. No drawn point, other than $A$ itself, is closer to $A$ than $B$ is.
c. No drawn point, other than $B$ itself, is closer to $B$ than $A$ is.
a. $A$ and $B$ are not the same point.
b. No drawn point, other than $A$ itself, is closer to $A$ than $B$ is.
c. No drawn point, other than $B$ itself, is closer to $B$ than $A$ is.