Statement 1: If the extremities of the latus rectum of the ellipse   x2a2+y2b2=1 (a> b), having positive ordinates lies on the parabola x2=−2(y−2),  then,  a=2Statement 2: If the length of the latus rectum of the  ellipse  x2a2+y2b2=1  is equal to the distance between the foci, then the eccentricity e of the ellipse satisfies e2+e−1=0