A circle has a center that falls on the line #y = 7/9x +5 # and passes through # ( 7 ,3 )# and #(5 ,1 )#. What is the equation of the circle?
1 Answer
Oct 24, 2016
The equation of the circle is
Explanation:
Let the center of the circle be
Then the equation of the circle is
As the circles passes through
Then substituting those points in the equation of the circle
so
Developing both sides
simplifying
Putting
Solving for a and b
we obtain
The radius
The equation of the circle is