What is the definition of a hyperbola

The video tutorial reviews the properties of parabolas, ellipses, and hyperbolas, focusing on their definitions and characteristics. It begins with a discussion on parabolas, highlighting the role of the focus and directrix. The tutorial then transitions to ellipses, explaining the sum of distances from any point on the ellipse to the foci. Finally, the video introduces hyperbolas, detailing their unique properties, such as the transverse axis and the difference of distances from any point on the hyperbola to the foci.

What is the transverse axis in relation to a hyperbola?

How does the definition of a hyperbola differ from that of an ellipse?

What is the significance of the constant difference in distances to the foci for a hyperbola?