$\begin{array}{1 1}Eccentricity =\frac{\sqrt 3}{2}\quad Latus\; Rectum = 10 \\ Eccentricity =\frac{\sqrt 3}{4}\quad Latus\; Rectum = 5 \\Eccentricity =\frac{\sqrt 3}{2}\quad Latus\; Rectum = \frac{5}{2} \\ Eccentricity =\frac{\sqrt 3}{4}\quad Latus \;Rectum =10 \end{array} $