Let E1 and E2 be two ellipses whose centers are at the origin. The major axes of E1 and E2 lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2=2. The straight line x +y = 3 touches the curves S, E, ad E at P, Q and R, respectively. Suppose that PQ = PR = eccentricities of E and E2, respectively, then the correct expression(s) is(are).