Question

The equation x^2/121 + y^2/1 = 1 represents an ellipse. which points are the vertices of the ellipse?

A. (-11,0) and (11,0)

B. (-1,0) and (1,0)

C. (0,-11) and (0,11)

D. (0,-1) and (0,1)

Answer 1

Answer: A. (-11,0) and (11,0)

Step-by-step explanation: Right on edge

Answer 2

A. (-11,0) and (11,0)

Explanation:

The given equation is

`(x^(2) )/(121) +(y^(2) )/(1) =1`

Where
`a^(2) =121` and
`b^(2)=1`. Remember, the greater denominator is the parameter
`a`.

`a^(2) =121 \implies a=11`

`b^(2)=1 \implies b=1`

Now, the vertices of an ellipse with center at the origin are defined as

`V(a,0)\\V'(-a,0)`

Replacing values, we have

`V(11,0)` and
`V'(-11,0)`

Therefore, the right answer is A.

(The image attached proves this result).