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Foci, vertices and latus rectum of an ellipse

Two-dimensional geometry · Mathematics

Study notes

Q: For 4x² + 9y² = 36, find foci, vertices, latus rectum length and endpoints. x²/9 + y²/4 = 1: a²=9, b²=4. c²=5, c=√5. e = √5/3. Foci (±√5,0). Vertices (±3,0). LR = 2(4)/3 = 8/3. Endpoints (±√5, ±4/3).

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