What is the relationship and formula between a b and c of an ellipse

The video tutorial covers the definitions and properties of conic sections, focusing on ellipses. It explains the constant sum of distances from any point on an ellipse to its foci and uses the Pythagorean theorem to explore relationships between the ellipse's parameters. The tutorial emphasizes understanding the geometric relationships and properties of ellipses.

What is the definition of an ellipse?

Explain the relationship between the distances to the foci and the constant value in an ellipse.

What is the significance of the sum of the distances from any point on the ellipse to the foci?

How does the Pythagorean theorem apply to the properties of an ellipse?

Describe how the distances from the center to the vertices relate to the values of a and b in an ellipse.