What is the formula for an ellipse with a major vertical axis

The video tutorial explains the relationship between circles and ellipses, focusing on their equations. It begins by discussing how an ellipse differs from a circle due to its major and minor axes. The standard form of a circle's equation is introduced, followed by the derivation of the vertical ellipse equation. The tutorial concludes by comparing the equations of circles and ellipses, highlighting the differences in their variables and axes.

What is the primary difference between a circle and an ellipse?

• A circle has a major and minor axis.

• An ellipse has equal axes.

• An ellipse is a type of polygon.

• A circle has equal radii, while an ellipse has different lengths for its axes.

In the equation of a vertical ellipse, which axis is longer?

• Horizontal axis

• Vertical axis

• Both axes are equal

• Neither axis is longer

What does the variable 'A' represent in the context of an ellipse?

• The circumference

• The major axis

• The radius

• The minor axis

How can an ellipse be transformed into a circle?

• By reducing the radius

• By making the major axis longer

• By making the minor axis longer

• By equating the lengths of the major and minor axes

If B^2 equals R^2 in an ellipse, what does this imply?

• The ellipse is actually a circle

• The ellipse has no axes

• The ellipse is vertical

• The ellipse is horizontal