A circle has a center that falls on the line #y = 2/9x +8 # and passes through # ( 2 ,5 )# and #(1 ,7 )#. What is the equation of the circle?
1 Answer
Explanation:
Let the coordinate of the centre of the circle be (a,b) and radius is r.
Then its equation will be
The circle passes through (2,5) and (1,7) show these points will satisfy the equation of the circle, hence
Subtracting (2) from (1) we have
Again The center (a,b) lies on the given line
From (3) and (4)
we have
From (4)
From eq (1)
Equation of the Circle