Question

Which points are the vertices of the ellipse? points N and P points O and P points Q and R points S and T

Answer 1

The correct option is 4. Points S and T are the vertices of the ellipse.

Explanation:

The end points of the major axis are called vertices of the ellipse and the end points of minor axis are called co-vertices.

The standard form of an ellipse is

`(x^2)/(a^2)+(y^2)/(b^2)=1`

If a>b, then vertices are (± a,0) and co-vertices are (0, ± b).

If a<b, then vertices are (0, ± b) and co-vertices are (± a,0).

From the given figure it is clear that major axis is ST and minor axis is QR. So, points S and T are vertices and points Q and R are co-vertices of the ellipse.

Since the end points of the major axis are called vertices of the ellipse, therefore the point S and T are the vertices of the ellipse.

Answer 2

points S and T

Explanation:

The vertices are the endpoints of the major axis, the axis through the foci, which are points N and P for this ellipse.