Question

2

Select the correct answer.
If the vertices of an ellipse are at (1, 5) and (1, -5) and (3, 0) is a point on the ellipse, what is the ellipse equation?

Answer 1

Answer: B.
`((x-1)^(2) )/(2^(2) ) +(y^(2) )/(5^(2) ) =1`

Step-by-step explanation: I got this right on Edmentum.

Answer 2

Equation the ellipse is
`(x^(2))/(25)+(y^(2))/(9)=1`

Explanation:

In the question vertices of an ellipse are given as (1, 5) and (1, -5).Co vertex is (3, 0).

We know the standard form of ellipse is
`(x^(2) )/(a^(2) ) +(y^(2) )/(b^(2) ) = 1`

If a > b then ellipse is horizontal

and the origin is (0, 0)

Given from the question a = 5 and b = 3

Since a > b therefore ellipse is horizontal

So the equation of ellipse will be

`(x^(2))/(5^(2))+(y^(2))/(3^(2))=1`

`(x^(2))/(25)+(y^(2))/(9)=1`

Therefore the answer is
`(x^(2))/(25)+(y^(2))/(9)=1`