Write the equation of ellipse given the length of the major & minor axis as well as the c

The video tutorial explains how to write the equation of an ellipse given the lengths of the major and minor axes and the center. It covers the definitions of A and B, the distances from the center to the vertices and co-vertices, and how to calculate these values. The tutorial also discusses the importance of the center in the form of H, K and provides a step-by-step guide to solving for A and B, ultimately leading to the complete equation of the ellipse.

What is the significance of knowing the orientation of the major axis when writing the equation of an ellipse?

• It dictates whether 'a' is under x^2 or y^2.

• It helps in identifying the lengths of the axes.

• It affects the overall shape of the ellipse.

• It determines the position of the center.

In the context of an ellipse, what does 'a' represent?

• The distance from the center to a co-vertex.

• The total length of the minor axis.

• The distance from the center to a vertex.

• The total length of the major axis.

How are the coordinates of the center of an ellipse represented?

• (p, q)

• (a, b)

• (h, k)

• (x, y)

If the total length of the major axis is 10, what is the value of 'a'?

• 20

• 10

• 5

• 2

What is the value of 'b' if the total length of the minor axis is 4?

• 2

• 1

• 3

• 4