The minimum and maximum distances from a point P to a circle are found using the line determined by the given point and the center of the circle.
Given the circle defined by (x-3)2 = (y-1)2 = 25 and the point P (-3,9)
a) Find the line that goes through the center of the circle and P(−3, 9).
b) The system of equations is the circle and the line found in part a. Write the system.
c) Solve the system using any method.
d) Find the point on the circle closest to the point (−3, 9).
e) Find the point on the circle farthest from the point (−3, 9).
