A1 Which point is equally distant from points $A(1,4)$ and $B(7,2)$ and lies on the line segment $A B$?
(A) $(4,3)$
(B) $(3,0)$
(C) $(3,3)$
(D) $(0,0)$
(E) $(5,6)$
A1. We calculate the point using the formula $\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$. The answer is the point $(4,3)$.