Find the length of the major axis, minor axis, the lattice rectum, and the coordinates of the focal length and the vertices and the eccentricity of the ellipse with x^2/100 + y^2/25 = 1.
a) Major axis = 20, Minor axis = 10, Latus rectum = 16, Foci = (±10√3, 0), Vertices = (±10, 0), Eccentricity = 2/√5
b) Major axis = 10, Minor axis = 5, Latus rectum = 8, Foci = (±5√3, 0), Vertices = (±5, 0), Eccentricity = √3/2
c) Major axis = 15, Minor axis = 7.5, Latus rectum = 12, Foci = (±7√2, 0), Vertices = (±7.5, 0), Eccentricity = 2/3
d) Major axis = 25, Minor axis = 12.5, Latus rectum = 20, Foci = (±12√2, 0), Vertices = (±12.5, 0), Eccentricity = 3/2