Question: 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

Let E1 and E2 be two ellipses whose centers are at the

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).

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