Ellipse

Let E1 and E2 be two ellipse 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 x2+(y+1)2=2The straight line x+y=3 touches the curves S , E1 and E2 at P,Q and R,respectively.Suppose that PQ=PR=

2√2

2

.If e1 and e2 are the eccentricities of E1 and E2,respectively,then the correct expression(s) is (are)