For the following problems find solutionsifthey exist:

Problem 1: There are two circles and an ellipse. Their equations respectively are: , , and Find all points of intersections along the three curves in terms of , , , and . Assume

Problem 2: Find the point(s) of intersection of and .

Problem 3: Find the point(s) of intersection of and find all points of intersection of the curves.

Problem 4: Find the point(s) of intersection and

if you can do these you should be able to handle most intersection problems. I threw problem 1 in there for a real challenge and I made up all of these on the fly. Let me know how they go and if I can help you. (: