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Conic Sections: Introduction and Parabola

Mathematics · Chapter 13 · Unit 3: Coordinate Geometry

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Topics 3

  1. Conics as sections of a cone; degenerate cases (point, line, pair of lines); focus, directrix, eccentricity and latus rectum (PS = e PL)
  2. Parabola: standard forms y^2 = +-4ax and x^2 = +-4ay; rough sketches; focus, vertex, directrix, axis and latus rectum
  3. Finding the equation of a parabola from its focus and directrix; application problems