Question

Determine the equation of the ellipse with center (2,2), focus (2,0), and vertex (2,5).

Answer 1

For the ellipse given, the center (2,2), focus (2,0), and vertex (2,5).​

The general form of the ellipse is

`((x-h)^2)/(b^2)+((y-k)^2)/(a^2)=1`
`((x-2)^2)/(b^2)+((y-2)^2)/(a^2)=1`
`a=5-2=3`

To determine the value of b,

`c^2=a^2-b^2`
`4=9-b^2`
`b^2=5`

Thus the equation of ellipse formed is

`((x-2)^2)/(5)+((y-2)^2)/(9)=1`

The correct option is B.