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Conic Section as a Locus of a Point

The locus of a point which moves in a plane such that the ratio of its distance from a fixed point to its perpendicular distance from a fixed straight line which is always constant is known as a conic section or conic.
The fixed point is called the focus of the conic and this fixed line is called the directrix of the conic.
Also this constant ratio is called the eccentricity of the conic and is denoted by e.
If e = 1, the conic is called parabola.
If e < 1, the conic is called ellipse.
If e > 1, the conic is called hyperbola.
If e = 0, the conic is called circle.
If e = ∞, the conic is called pair of straight lines.
In Figure, 71033.png = constant = e or SP = ePM.

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