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Ellipse and Hyperbola
Mathematics · Chapter 14 · Unit 3: Coordinate Geometry
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- Ellipse x^2/a^2 + y^2/b^2 = 1, e < 1, b^2 = a^2(1 - e^2); cases a > b and a < b; rough sketches
- Equation of an ellipse from focus and directrix; focal property SP + S'P = 2a
- Hyperbola x^2/a^2 - y^2/b^2 = 1, e > 1, b^2 = a^2(e^2 - 1); conjugate form; rough sketches
- Focal property of the hyperbola |SP - S'P| = 2a