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,

Tyler