What do you mean by the latus rectum and the eccentricity of the ellipse?

Ans : The latus rectum represents a line that is drawn perpendicular to the transverse axis of the ellipse and passes through the foci of the ellipse. The length of the latus rectum of the ellipse can be given as 2b2/a.

The eccentricity of the ellipse is defined to be the ratio of the distance of the focus from the center of the ellipse, and the distance of one end of the ellipse from the center of the ellipse. Let c be the distance of the focus from the center of the ellipse and a be the distance of the end of the ellipse from the center; then the eccentricity e is given as c/a.