In the coordinate plane, the points F (-1,1), G (1,4), and H (4,1) lie on a circle with center P. What are the coordinates of point P ?	Choose the correct choice from the following answers:
A) (0,0)	B) (1,1)	C) (1.5,1.5)	D) (1,-2)	E) (2.5, -2.5)
I thought I need to find the 4th point that would lie on the circle   Hence my answer was (1,-2) (1,-1)   But the the center of the circle will lie on (1.5,1.5)   (1,-2)
<result>D</result>
In the coordinate plane, the points F (-1,1), G (1,4), and H (4,1) lie on a circle with center P. What are the coordinates of point P ?