Respuesta :

The hyperbola that has the smallest distance between the vertex snd the focus belonging to the same branch is B. (x - 1)²/12² - (y - 11)²/8² = 1.

What is a hyperbola?

It should be noted that a hyperbola simply means an open curve that has two branches.

From the complete question, the hyperbola that has the smallest distance between the vertex snd the focus belonging to the same branch is (x - 1)²/12² - (y - 11)²/8² = 1.

Note that the complete question is:

Which hyperbola has the smallest distance between the vertex snd the focus belonging to the same branch?

A. (x + 10)²/11² - (y - 3)²/10² = 1

B. (x - 1)²/12² - (y - 11)²/8² = 1

C. (y - 8)²/9² - (x + 6)²/12² = 1

D. (y - 14)²/9² - (x + 28)²/11² = 1

Learn more about hyperbola on:

https://brainly.com/question/3351710

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