Question

question 4 of 10

the length of a hyperbolas transverse axis is equal to the ______ the distances from any point on the hyperbola to each focus.

a. product of

b. sum of

c. difference between

Explanation:

Recall the geometric definition of a hyperbola

$$ |d_1 - d_2| = 2a $$

Relate the constant to the transverse axis

$$ \text{Length of transverse axis} = 2a $$

Identify the correct relationship

$$ \text{Length of transverse axis} = \text{difference between the distances to the foci} $$

Answer:

• A. product of
• B. sum of
• C. difference between (Correct answer)