Circles and Ellipses Review

Front

What is the general equation of an ellipse?

Back

Front

How do you determine the center of an ellipse from its equation?

Back

Front

What is the relationship between the lengths of the axes of an ellipse?

Back

In an ellipse, the length of the major axis is 2a and the length of the minor axis is 2b, where a > b.

Front

What is the equation of a circle with center (h, k) and radius r?

Back

Front

How do you find the length of the major axis of an ellipse?

Back

The length of the major axis of an ellipse is 2a, where a is the length of the semi-major axis.

Front

What is the standard form of the equation of a circle?

Back

Front

What are the vertices of an ellipse?

Back

The vertices of an ellipse are the points where the ellipse intersects the major axis.

Front

What is the difference between the major and minor axes of an ellipse?

Back

The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter.

Front

How do you write the standard form equation of an ellipse given its vertices and co-vertices?

Back

Front

What is the significance of the foci in an ellipse?

Back

The foci of an ellipse are two fixed points located along the major axis, and the sum of the distances from any point on the ellipse to the foci is constant.