I looked at their solution, and there's no way they intended you to actually solve the problem, it's way to long.
e - wrong because it just lists the semiaxes
c,d - wrong because their formulas are all jacked up. You'd have to do too much work to find the semiaxes and center.
So it's between a and b. But we know one of the points. We know that (0,0) is at a 2:3 ratio. That means that the circle must go through (0,0). And only b includes (0,0), which is found by finding the distance between the center of the circles and the point (0,0).