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Let e 1 be the eccentricity of the hyperbola 9 y 16 x 2 2 − = 1 and e 2 be the eccentricity of the ellipse 2 2 2 2 b y a x + = 1, a > b, which passes through the foci of the hyperbola. If e 1 e 2 = 1, then the length of the chord of the ellipse parallel to the x-axis and passing through (0, 2) is:

  1. 3 5 10
  2. 5 3
  3. 5 4
  4. 3 5 8

Correct answer: 3 5 10

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