Question

1. choose the best answer.

the __ of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant
conjugate
branch
focus
vertex

Explanation:

• Conjugate: In hyperbola, conjugate is related to the conjugate axis (a line segment perpendicular to the transverse axis), not the points described.
• Branch: A hyperbola has two branches (the two separate curves), not the points.
• Focus: By the definition of a hyperbola, the foci (plural of focus) are the two points such that the absolute value of the difference of the distances from any point on the hyperbola to the two foci is a constant.
• Vertex: The vertices are the points where the hyperbola intersects its transverse axis, not the points related to the distance - difference property.

Answer:

focus