Anybody Familiar With Diameter Equations Of Conics??

Question

I wanna know diameter equations of conic sections: Ellipse, Hyperbola, parabola, (given slope is k)

thanks

WRONG WRONG WRONG, WAY WRONG.
Seems that you guys know less about this problem than me. Guess I have to solve this problem myself

Definition: Diameter of conic curve: Locus of median points of parallele chords of a certain conic curve.

diameters of ellipse and hyperbola pass through their centers (origin point); diameter of parabola paralleles its axis.

diameter equation of different conic curves(given slope k, parallele chords: y=kx+m):

circle: y=(-1/k)x
ellipse: b^2x+a^2ky=0
hyperbola: ky-[(1-a^2)k^2+b^2]x=0
parabola: y=p/k

I just wanna make sure whether the diameter equation of hyperbola is right. I was reading a material on this and it has misprint. I worked out the hyperbola one myself and just wanna make sure whether it's correct.

C'mon

Answer 1

Sorry, I wasn't aware that the word diameter had meaning for the other conic sections.

I wasn't able to find a definite equation for the diameters of the other conic sections.

This is the best I could find on the diameter of a hyperbola:

http://eom.springer.de/h/h048230.htm

Answer 2

Let conic equation be: (z/k)^2=x^2+y^2; if you fix y,
then (z/k)^2-x^2=C^2 is equation of hyperbola;

Answer 3

This makes no sense. There is no slope lor diameter in conics.

Answer 4

hope you find what you are looking for in here

http://en.wikipedia.org/wiki/Conic