How to write the equation of an ellipse when given the foci and co vertex

The video tutorial explains how to write the equation of an ellipse given its foci and co-vertex. It begins by identifying whether the major axis is horizontal or vertical, then sets up the equation accordingly. The center of the ellipse is determined using the foci and co-vertices. The tutorial calculates the values of A and B, which are essential for the equation, and concludes by writing the final equation of the ellipse.

What is the first step in writing the equation of an ellipse when given the foci and a co-vertex?

• Calculate the distance between the foci

• Determine the length of the minor axis

• Find the coordinates of the vertices

• Identify if the major axis is horizontal or vertical

How is the center of an ellipse determined using the foci and co-vertices?

• By averaging the coordinates of the foci

• By calculating the distance between the vertices

• By using the length of the major axis

• By finding the midpoint between the foci and co-vertices

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

• They intersect at the foci

• They are perpendicular to each other

• They are parallel to each other

• They are equal in length

What is the value of B in the context of an ellipse?

• The distance from the center to a vertex

• The distance from the center to a focus

• The length of the major axis

• The distance from the center to a co-vertex

How is the value of A determined in the equation of an ellipse?

• By subtracting B squared from C squared

• By dividing C squared by B squared

• By multiplying B squared by C squared

• By adding B squared to C squared