It is known that the major axis of the ellipse is three times of the minor axis, and it passes through point a (3,0) and takes the coordinate axis as the axis of symmetry

It is known that the major axis of the ellipse is three times of the minor axis, and it passes through point a (3,0) and takes the coordinate axis as the axis of symmetry


Suppose the equation is x ^ 2 / m ^ 2 + y ^ 2 / N ^ 2 = 1;
Through the point a (3,0), we can get:
9 / m ^ 2 = 1; m = 3,
The major axis is three times of the minor axis
M / N = 3, or N / M = 3, so:
n=1,or n=9;
So the equation of ellipse is:
x^2/9+y^2=1 or x^2/9+y^/81=1.