Mathematics · Ellipse
Let each of the two ellipses E1 : x2a2 + y2b2 = 1, (a > b) and E2 : x2A2 + y2B2 = 1, (A < B) have eccentricity 45. Let the lengths of the latus recta of E1 and E2 be ℓ1 and ℓ2, respectively, such that 2ℓ12 = 9ℓ2. If the distance between the foci of E1 is 8, then the distance between the foci of E2 is:
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