Eccentricity of Parabola
A parabola is defined as a set of points in a plane equidistant from a fixed line called the directrix and a fixed point called the focus. Put simply, the distance from the focus in the plane always has a constant ratio with the distance from the directrix in the plane.
Elements of Parabola
- Focus: A fixed point that plays a crucial role in shaping the parabolic curve.
- Directrix: A fixed straight line, the distance from which determines the parabola’s form.
General equation of a parabola is,
y = a(x-h)2 + k
Eccentricity of Parabola Formula
Thus, for Parabola we get always an eccentricity 1,
e = 1
Eccentricity Formula of Circle, Parabola, Ellipse, Hyperbola
Eccentricity is a non-negative real number that describes the shape of a conic section. It measures how much a conic section deviates from being circular. Generally, eccentricity measures the degree to which a conic section differs from a uniform circular shape.
Let’s discuss Eccentricity formula for circle, parabola, ellipse, and hyperbola, along with examples.
Table of Content
- Eccentricity in Geometry
- Eccentricity Formula
- Eccentricity of Circle
- Eccentricity of Parabola
- Eccentricity of Ellipse
- Eccentricity of Hyperbola
- Eccentricity of Conic Sections
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