Given that the hyperbola x2 / 16-y2 / 9 = 1, the line L passing through its right focus f intersects the hyperbola ab. if | ab | = 5, then there are several lines L

Given that the hyperbola x2 / 16-y2 / 9 = 1, the line L passing through its right focus f intersects the hyperbola ab. if | ab | = 5, then there are several lines L

x2/16-y2/9=1
∴ a²=16
∴ a=4
(1) The minimum value of | ab | is 2A = 8 > 5
Not satisfied
(2) A and B are on the right branch,
When AB is perpendicular to the x-axis, it is the shortest
The abscissa = C = 5
When x = 5, 25 / 16-y & # / 9 = 1
∴ y²=9*9/16
At this time | ab | = 2 | y | = 9 / 2