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- The locus of a point which moves in such a way that its distance from a fixed point bears a constant ratio [math]e\,[/math] with its distance from a fixed straight line.
- The fixed point is called the focus and the fixed line is called the directrix of the ellipse and [math]e\,[/math], which is less than [math]1[/math], is called the eccentricity of the ellipse.
- The conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
[math]x^2 = 4 y\,[/math]
[math]y^2 = 16 x\,[/math]
[math](x-1)^2 = 8(y+2)\,[/math]
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