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10.4 Ellipses

10.4 Ellipses. Definitions. Ellipse: set of all points P such that the sum of the distances between P and 2 distinct fixed points, the foci, is a constant Vertices: Major Axis: Center: Co-Vertices: Minor Axis:. Standard form of Equation of Ellipse. Center is at the origin

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10.4 Ellipses

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  1. 10.4 Ellipses

  2. Definitions • Ellipse: set of all points P such that the sum of the distances between P and 2 distinct fixed points, the foci, is a constant • Vertices: • Major Axis: • Center: • Co-Vertices: • Minor Axis:

  3. Standard form of Equation of Ellipse • Center is at the origin • Major & Minor axes lengths are 2a & 2ba>b>0 • Foci of ellipse lie on major axis, c units from the center where

  4. Examples • Draw the ellipse given by Identify the foci. • Write the equation of the ellipse with the given characteristics & center at the origin • 1) vertex (0, 5) 2) vertex (-6, 0) • co-vertex (4, 0) focus (3, 0) HW p612-613 #18-40 even, 52-68 even

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