I got x=(sqrt(a^2-ax)) plugged it back in and it checks out but I still am not sure what (b) is asking.
For a > 0, consider the graph of x^2+y^2=a^2 and the graph of y=x^2/a
(a) Find the point with positive x value where these two curves intersect.
(b) If we consider a to be increasing from 0 to infinity then the intersection points of these two curves trace out a new curve. Find the equation of the curve.
Thanks in advance, really. I am stumped on how to do this, I have an idea of how to do (a), (set y = and solve for x) but I get really awkward answers. I really have no idea how to do (b).
Thanks for the help,