- #1
mahrap
- 37
- 0
Find the ellipse centered at the origin that runs through
the points (1,2), (2,2), and (3, I). Write your equation
in the form $$ ax^2 + bxy + cy^2 = 1 $$
I understand the $$ ax^2 $$ and $$ cy^2 $$ in the equation because the equation of an ellipse centered at origin is $$ (x/a)^2 + (y/b)^2 = 1 $$ so we let $$ a = (1/a)^2 $$ and $$ b = (1/b)^2 $$. but where did the $$ bxy $$ come from?
the points (1,2), (2,2), and (3, I). Write your equation
in the form $$ ax^2 + bxy + cy^2 = 1 $$
I understand the $$ ax^2 $$ and $$ cy^2 $$ in the equation because the equation of an ellipse centered at origin is $$ (x/a)^2 + (y/b)^2 = 1 $$ so we let $$ a = (1/a)^2 $$ and $$ b = (1/b)^2 $$. but where did the $$ bxy $$ come from?