Eccentricity of Ellipse- Diagram
Diagram of Ellipse is shown in the image added below:
Various results related to ellipse:
x2/a2 + y2/b2 = 1, a > b |
x2/a2 + y2/b2 = 1, a < b |
|
---|---|---|
Coordinates of Vertices |
(a, 0) and (-a,0) |
(0, b) and (0, -b) |
Coordinates of Foci |
(ae, 0) and (-ae,0) |
(0, be) and (0, -be) |
Length of Major Axis |
2a |
2b |
Length of Minor Axis |
2b |
2a |
Equation of Directrices |
x = a/e and x = -a/e |
y = b/e and y = -b/e |
Length of Latus-Rectum |
2b2/a |
2a2/b |
Eccentricity |
e = √( 1 – b2/a2) |
e = √( 1 – a2/b2) |
Eccentricity of Ellipse
Eccentricity of Ellipse: eccentricity is a measure that describes how much a conic section deviates from being circular. For any point on a conic section, eccentricity is defined as the ratio of the distance to a fixed point (focus) to the distance to a fixed line (directrix).
The eccentricity of an ellipse is the ratio of the distances from the centre of the ellipse to one of the foci and to one of the vertices of the ellipse. It is denoted using the letter, ‘e’ and is calculated as, e = c/a where a is the length of the semi-major axis and c is the distance from the centre to the foci.
In this article, we will learn about Ellipse, Eccentricity of Ellipse, Formula for eccentricity of ellipse and others in detail.
Table of Content
- What is an Ellipse?
- Eccentricity of Ellipse
- Eccentricity of Ellipse Formula
- Eccentricity of Ellipse- Diagram
- Eccentricity of Circle
- Eccentricity of Parabola
- Eccentricity of Ellipse
- Derivation of Eccentricity of Ellipse
- Eccentricity of Ellipse Examples
- Practice Problems on Eccentricity of Ellipse