# Thread: Conic sections

1. ## Conic sections

Hey, I'm stuck on this question about conic sections. I'm supposed to use the theorem that "any general conic section is obtained by a rotation of a conic section without mixed term". Well I managed to derive the equation of this hyperbola (with no mixed terms). I now have to rotate it, but do I rotate it through the origin? Or the centre of the hyperbola itself? (It is not a standard hyperbola) Thanks in advance

2. Originally Posted by SuumEorum
Hey, I'm stuck on this question about conic sections. I'm supposed to use the theorem that "any general conic section is obtained by a rotation of a conic section without mixed term". Well I managed to derive the equation of this hyperbola (with no mixed terms). I now have to rotate it, but do I rotate it through the origin? Or the centre of the hyperbola itself? (It is not a standard hyperbola) Thanks in advance
Translate the center of the hyperbola to the origin (if the center of the hyperbola is (a,b), replace x with x'-a and y with y'-b). Rotate around the origin, then translate back so the center is at (a, b).