Question

2.2.4 quiz: geometry of hyperbolas and parabolas
question 2 of 10
the length of the red line segment is 15, and the length of the blue line segment is 8. how long is the transverse axis?
focus
focus
8
15
a. 7
b. 15
c. 23
d. 8

Explanation:

Step1: Recall hyperbola property

The difference between the distances from any point on a hyperbola to the two foci is equal to the length of the transverse axis. Let the distance from the point to one - focus be $d_1 = 15$ and to the other be $d_2 = 8$.

Step2: Calculate transverse - axis length

The length of the transverse axis $a$ is given by $|d_1 - d_2|$. So, $a=|15 - 8|=7$.

Answer:

A. 7