Question

Is the ellipse represented by the equation (x-5)^2/3 (x 1)^2/5?

Answer 1

you need to give us more info for an answer

Answer 2

Yes, It is ellipse

Explanation:

Given Equation :
`((x-5)^2)/(3)+((y+1)^2)/(5)=1`

The standard equation of ellipse

`(\left(x-h\right)^(2))/(a^(2))+(\left(y-k\right)^(2))/(b^(2))=1`

If we compare the given equation with standard equation of ellipse. It would be same.

Yes, the given equation represents ellipse.

The center of ellipse (5,-1)

`a=\sqrt3`

`b=\sqrt5`

• If a>b then horizontal ellipse.

• If a<b then vertical ellipse.

For the given equation
`\sqrt3<\sqrt5\Rightarrow a<b`

Therefore, it is vertical ellipse.

Graph: Please find attachment