Conic section Understanding the parts of a vertical ellipse

The video tutorial covers the characteristics and definitions of parabolas, circles, and ellipses. It begins with an overview of parabolas, discussing the vertex, axis of symmetry, focus, and directrix. The tutorial then moves on to circles, highlighting the center and radius. The main focus is on ellipses, explaining their center, foci, vertices, and co-vertices. The video also details the distances within ellipses and the concepts of major and minor axes, emphasizing the differences between vertical and horizontal ellipses.

What is the definition of a parabola?

• A set of points equidistant from two foci

• A set of points equidistant from a focus and a directrix

• A set of points equidistant from a single point

• A set of points equidistant from a line

Which of the following is a characteristic of a circle?

• It has a center and a radius

• It has vertices and co-vertices

• It has a directrix

• It has two foci

How many foci does an ellipse have?

• One

• Two

• Three

• None

What are the points called where the ellipse intersects its major axis?

• Foci

• Vertices

• Co-vertices

• Centers

In an ellipse, what is the distance from the center to a co-vertex called?

• C

• D

• A

• B

What is the length of the major axis in an ellipse?

• 2A

• B

• 2B

• A

If an ellipse is oriented horizontally, which axis is longer?

• Minor axis

• Major axis

• Neither

• Both are equal