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.
vertex
branch
focus
conjugate

Explanation:

By the definition of a hyperbola, the foci are the two points such that the difference of the distances from any point on the hyperbola to the foci is a constant. A vertex is a point on the hyperbola itself (the "corner" of each branch). A branch is one of the two separate curves that make up the hyperbola. A conjugate is related to the hyperbola's axes (e.g., conjugate axis), but not to the definition involving the constant difference of distances.

Answer:

focus