Plot the two curves in the uv−plane implied by the following systems. Then find all solutions exactly using simple algebra.

(a) u^2 + v^2 = 1/2

(u − 1)^2 + v^2 = 1

(b) u^2 + 4v^2 = 4

4u^2 + v^2 = 2

(c) u^2 + 4v^2 = 2

4u^2 − v^2 = 4