An ellipse's major axis is determined by the denominators of the squared terms in its equation. If the "x^2" term has a larger denominator, the major axis is horizontal along the x-axis; if the "y^2" term has a larger denominator, the major axis is vertical along the y-axis. The discussion highlights confusion regarding the classification of axes, particularly the notion of a "neither" option, which is deemed nonsensical. Understanding these principles is crucial for accurately determining the orientation of an ellipse. Clear comprehension of these rules can aid in solving related mathematical problems effectively.
