Ellipses

Definition

Set of all points in a plane such that the sum of the distances from two fixed points is constant.

Equations of Ellipses Centered at the origin.

  • Standard form |(x-h)²/a² + (y-k)²/b²=1| (y-k)²/a²+(x-h)²/b²=1
  • Orientation | Horizontal | Vertical
  • Foci | (h+-c,k) | (h,k+-c)
  • Vertices | (h+- c,k) | (h,k+-c)
  • Co-Vertices |(h,k+-b) | (h+-b,k)
  • Length of Major Axis| 2a units | 2a units
  • Length of Minor Axis| 2b units | 2b units
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