Question

Which of the following equations could be that of the ellipse graphed below?

Answer 1

The best option is C

`((x - 6^2))/(8^2) + ((y - 5^2))/(5^2) = 1`.

Answer 2

Option C

Explanation:

Given is a graph of the ellipse.

Centre is at (6,5)

Vertices are found to be (14,5) (-2,5)

Hence
`Major axis = 2a = 16a-8`

Other vertices are (6,0) and (6,10)

`2b=10\\b=5`

The ellipse is horizontal with major axis horizontal

Hence equaiton of the ellipse is

`((x-6)^2)/(8^2) +((y-5)^2)/(5^2) =1`

Option C is right answer