Let (0, 0) represent a water fountain located in a city park. Each day you run through the park along a path given by
x2 + y2 − 200x − 52,500 = 0
Where x and y are measured in meters.
(a) What type of conic is your path? Explain.
(b) Write the equation of the path in standard form. Sketch the graph of the equation.
(c) After you run, you walk to the water fountain. When you stop running at (−100, 150), how far must you walk for a drink of water?