Ellipse - General Form and Standard Form Equation

a

• distance from center to an end of major axis (length of semi major axis) of an ellipse.

b

• distance from center to an end of minor axis (length of semi minor axis) of an ellipse.

c = √a² - b²

• distance from center to focus of an ellipse.

2a

• length of major axis of an ellipse.

2b

• length of minor axis (major axis > minor axis) of an ellipse.

2c

• distance between two foci of an ellipse.

2b²/a

length of each latus rectum of an ellipse.

b²/a

distance from focus to the end of the latus rectum of an ellipse.

a/e = a²/c

distance trom center to directrix.

e = (√a²-b²)/a

eccentricity of ellipse, 0 < e < 1.

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Ellipse: a _ b and b _ c.

2a

• The length of the major axis of an ellipse is ___.

2b

• The length of the minor axis of an ellipse is ___.

b²/a

The length of the latus rectum of an ellipse.

center

The intersection of the axes in an ellipse.

co-vertices

The endpoints of the minor axis of an ellipse.

major axis

The line segment joining the vertices of an ellipse.

minor axis

The line segment joining the co-vertices of an ellipse.

0 < e < 1

The eccentricity of the ellipse.