How is the relationship of a,b,c related for an ellipse

What is the distance from the center of an ellipse to its foci called?

• Focal distance

• Co-vertex distance

• Semi-minor axis

• Semi-major axis

According to the definition of an ellipse, what is constant for any point on the ellipse?

• The distance to the center

• The sum of distances to the foci

• The distance to the vertices

• The distance to the co-vertices

If a point is on the x-axis of an ellipse, what is the sum of the distances to the foci?

• b

• a

• 2b

• 2a

What is the relationship between the semi-major axis (a), semi-minor axis (b), and the focal distance (c) in an ellipse?

• a^2 - b^2 = c^2

• b^2 - a^2 = c^2

• a^2 + b^2 = c^2

• a^2 = b^2 + c^2

How can you express the length of the semi-major axis in terms of b and c?

• sqrt(a^2 - c^2)

• sqrt(a^2 + b^2)

• sqrt(c^2 - b^2)

• sqrt(b^2 + c^2)