In the following equation, Find the co-ordinates of foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of latus rectum of the ellipse.

Equation of ellipse is : 
               
Now, 
∴    Equation of ellipse in the standard form is 
(i) Focus,      
Focus,               
(ii) Vertex,           
Vertex,            
(iii) Length of major axis = 2a = 2(3) = 6
      Length of minor axis = 2b = 2(2) = 4
(iv)  Let the eccentricity be e.
Now,                           c = ae,       ∴   
(v) Length of latus rectum