Question

What is the general equation of a tilted ellipses not centered at the origin?

i can’t find any information about it for some reason but i need help asap, thank you!

1. dangkhoa
The general equation of an ellipse in which case it is not centered at the origin and it is tilted is; (x-h)²/a² + (y-k)²/b² = 1.

### What is the general equation of a tilted ellipses not centered at the origin?

It follows from the task content that the plane shape in discuss is an ellipse which is described by the characteristics that it is tilted and not centered at the origin.
It follows from convention that the general equation of such an ellipse is;
(x-h)²/a² + (y-k)²/b² = 1.
In which case, such an ellipse has center given as point; (h, k).