The length of the major axis of the ellipse below is 17 and the length of the red line segment is 6. How long is the blue line segment?

Answer:
Option B. 11
Step-by-step explanation:
See the attached figure
As the figure about an ellipse
So, The sum of distance between A and the foci will be equal the major axis
AB = 6 and the major axis = 17
∴ AB + AC = major axis
∴ 6 + AC = 17
∴ AC = 17 - 6 = 11
So, the length of the blue line segment = 11