Answer:
Option C
Step-by-step explanation:
Given is a graph of the ellipse.
Centre is at (6,5)
Vertices are found to be (14,5) (-2,5)
Hence [tex]Major axis = 2a = 16a-8[/tex]
Other vertices are (6,0) and (6,10)
[tex]2b=10\\b=5[/tex]
The ellipse is horizontal with major axis horizontal
Hence equaiton of the ellipse is
[tex]\frac{(x-6)^2}{8^2} +\frac{(y-5)^2}{5^2} =1[/tex]
Option C is right answer
