The eccentricity of an ellipse is () A. 45B. 35C. 25D. 15

Let the major axis be 2a, the minor axis be 2B, and the focal length be 2c, then 2A + 2C = 2 × 2B, that is, a + C = 2B {(a + C) 2 = 4B2 = 4 (a2-c2), so 3a2-5c2 = 2Ac, divide A2, and get 5e2 + 2e-3 = 0, ∧ e = 35 or E = - 1 (rounding off), so select B

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