Can anyone please give me information on Rotated Ellipses its Standard form, Problems, etc? (Analytic Geometry no Calculus yet)

Question

loser66 · Answer

https://www20.csueastbay.edu/library/scaa/files/pdf/Conics.pdf

kainui · Answer

No calculus, but how about using matrices?

anonymous · Answer

still dont know about matrices sir... we are still at the intro to Conic sections in Analytic Geom

kainui · Answer

I don't really have much to say about this, as I have not taken analytic geometry. I can show how to transform an ellipse into a circle using linear algebra, however I don't think that's what you're looking for.

anonymous · Answer

okay sir @Kainui . thanks!

ikram002p · Answer

do you know the definition of Ellips ?

anonymous · Answer

yep.

ikram002p · Answer

http://www.mathsisfun.com/definitions/ellipse.html

ikram002p · Answer

An ellipse is made by a point P moving around so that the sum of the distances from two other points (F and G) is constant. 

lets try to sketch in xy plane ?
 and give some analytic Geometry ok ?

anonymous · Answer

I know it already sir @ikram002p . What i wanna know from this moment is how to know if the ellipse is tilted or rotated by just looking on equations.

kainui · Answer

An ellipse will be tilted if it has any "cross terms" which just means it has a term where x and y are multiplied together.

anonymous · Answer

finding its Foci? and vertices? how to do it sirs?

ikram002p · Answer

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anonymous · Answer

yes sir @ikram002p  that's what i meant

ikram002p · Answer

if axis of  of Symmetry were parallel to x ,y axis then its Rotated

ikram002p · Answer

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