Find the equation for the ellipse that satisfies the given conditions: Major axis on the x -axis and passes through the points (4, 3) and (6, 2).

Sincethe major axis is on the x-axis,the equation of the ellipse will be of the form

Theellipse passes through points (4, 3) and (6, 2). Hence,

Onsolving equations (2) and (3), we obtain a²= 52 and b²= 13.

Thus,the equation of the ellipse is.