Question

1. choose the best answer.

a number which measures the degree of curvature of a hyperbola is called the ___ of a hyperbola.
curve
branch
eccentricity
twist

Explanation:

• Curve: A general term for a bent line, not specific to measuring the degree of curvature of a hyperbola.
• Branch: Refers to one of the two separate parts of a hyperbola, not a measure of curvature.
• Eccentricity: In conic sections (including hyperbolas), eccentricity \(e=\frac{c}{a}\) (\(c\) is the distance from the center to a focus, \(a\) is the distance from the center to a vertex) and it measures how "curved" or "spread - out" the hyperbola is. For a hyperbola, \(e> 1\).
• Twist: Not a standard term related to measuring the curvature of a hyperbola in the context of conic - section geometry.

Answer:

C. eccentricity