MAT136H1 Lecture Notes - Hyperbola, Ellipse, Polar Coordinate System

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MAT136H1 Full Course Notes
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Parabola represents set of points in a plane that are equidistant from a fixed point f called the focus and the directrix which is a fixed line. The point halfway between the focus and the directrix lying on the parabola is called the vertex. The line through the focus perpendicular to the directrix is called the axis of the parabola. For a parabola with focus at ( ) and directrix is , or. Set of points in a plane where the sum of the distance from two fixed points called the foci is constant. When the foci and vertices are located on the -axis, then the equation of ellipse is has foci ( ) and vertices ( ) where where. Set of points in a plane where the difference between two fixed points called the foci. When the foci and vertices are located on the -axis, then the equation of hyperbola is.

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