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10.5 CONIC SECTIONS

10.5 CONIC SECTIONS. Spring 2010 Math 2644 Ayona Chatterjee. Conic sections result from intersection a cone with a plane. PARABOLAS. A parabolas is the set of points in a plane that are equidistant from a fixed point F (called the focus) and a fixed line (called the directrix).

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10.5 CONIC SECTIONS

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  1. 10.5 CONIC SECTIONS Spring 2010 Math 2644 Ayona Chatterjee

  2. Conic sections result from intersection a cone with a plane.

  3. PARABOLAS • A parabolas is the set of points in a plane that are equidistant from a fixed point F (called the focus) and a fixed line (called the directrix). • The point halfway between the focus and the directrix lies on the parabola and is called the vertex.

  4. ELLIPSES • An ellipse is the set of points in a plane the sum of whose distances from two fixed points F1 and F2 is a constant.

  5. Terms The points (a,0) and (-a,0) are called the vertices. The line segment joining the vertices is called the major axis.

  6. HYPERBOLAS • A hyperbola is the set of all points in a plane the difference of whose distances from the two fixed points F1 and F2 (the foci) is a constant. • Hyperbolas is similar to an ellipse, the one change is that the sum of distances has become difference of distances.

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