Question

Which points are the vertices of the ellipse?

a) points n and p
b) points o and p
c) points q and r
d) points s and t

Answer 1

1. The general equation of an ellipse is shown below:

((x-h)²/a²)+((y-k)²/b²)=1

2. As you can see in the graph, the center of the ellipse is (0,0),; Then, you have that the formula is:

((x-0)²/a²)+((y-0)²/b²)=1
(x²/a)+(y²/b)=1

3. The figure attached in the problem shows that the ellipse is vertical, then its vertices are the following points:

S(0,6) and T(0,-6)

4. Therefore the correct answer is the las option: d) Points S and T.