Question

quiz geometry of hyperbolas and parabolas. the length of the red line segment is 10, and the length of the blue line segment is 6. how long is the transverse axis? focus focus. a. 4 b. 16 c. 6 d. 10

Explanation:

Step1: Recall hyperbola property

For a hyperbola, the difference between the distances from any point on the hyperbola to the two foci is equal to the length of the transverse axis. Let the distance from the point to one - focus be $d_1 = 10$ and to the other focus be $d_2 = 6$.

Step2: Calculate transverse - axis length

The length of the transverse axis $|d_1 - d_2|=|10 - 6| = 4$.

Answer:

A. 4