Chapter 9.2, Problem 9PSA

To determine

To find:The coordinates of point O

Answer to Problem 9PSA

The coordinates of point O are $(3,3)$

Explanation of Solution

Given information:The following information has been given

AB is the diameter of the circle with center O

  $A=(1,9)$

  $B=(5,-3)$

Formula used:Linear addition of coordinates is used

Calculation:We that midpoint of AB will be the center of the circle, hence the point O. thus, we can say that

  $O=\frac{A+B}{2}$

Thus, we substitute the coordinates of A and B, and we get

  $O=\left(\frac{1+5}{2},\frac{-3+9}{2}\right)=(3,3)$