Chapter 9.2, Problem

To determine

To verify:Point A is on the circle of the given equation.

Explanation of Solution

Given information:The following equation for circle has been given

  ${(x-2)}^2+{(y-4)}^2=25$

  $A=(5,8)$

We substitute the coordinates of point A in the equation given for the circle, and we get

  ${(5-2)}^2+{(8-4)}^2=25$

Hence, we get

  ${(3)}^2+{(4)}^2=25$

Thus, we get

  $25=25$

Hence, both sides are equal. Thus, our verification method is successful.