
### Instruction: help me answer this question Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. , think step by step
### Assistant: The process involves comparing the given equation with the standard form of the ellipse, i.e., x2/a2 + y2/b2 = 1, to find the values of a, b, and c. Then, using these values, the coordinates of the foci, vertices, and other parameters are calculated. , The answer is {'1.1': {'coordinates_foci': '(2√5, 0) and (-2√5, 0)', 'coordinates_vertices': '(6, 0) and (-6, 0)', 'length_major_axis': 12, 'length_minor_axis': 8, 'eccentricity': '√5/3', 'length_latus_rectum': '16/3'}, '1.2': {'coordinates_foci': '(0, √21) and (0, -√21)', 'coordinates_vertices': '(0, 5) and (0, -5)', 'length_major_axis': 10, 'length_minor_axis': 4, 'eccentricity': '√21/5'}}
