Mathematics · Coordinate Geometry
Let E1: x2a2 + y2b2 = 1, where a > b. Let E2 be another ellipse such that it touches the endpoints of the major axis of E1, and the foci of E2 are the endpoints of the minor axis of E1. If E1 and E2 have the same eccentricity e, then the value of e is:
- 1√5 - 12✓
- 2√3 - 12
- 3√5 + 14
- 4√2 - 12
Correct answer
√5 - 12
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