Let C(a,r) be the subset of R^2 given by C(a,r) = {(x,y) belongs to R^2| (x-a)^2 + y^2 = r^2}. Is C(0,1) union C(I,3) connected?
When we sketch both circles then C(0,1) comes out to be completely contained in C(1,3). We don't find any path between both circles. So these are disconnected. But answer key says these are connected. Where did I go wrong?