Ellipse on x=y Axis: Find Standard Formula

[scoradition]

Hi every body

I have a bounce marks on a quistion that i know nothing about

its about the Ellipse

the Qustion is

Find the standerd formula of the eelips which has foci on ( 1,1) and ( -1,-1)

and it has a major axis with 4 units.

i found that the center in at the origin and a = 2 and i didnt know anything else
-----------


i know the ellips on x-axis which has a formula of x^2-h/a^2 + y^2-k/b^2 = 1
and the ellips on the y-axis which has a formula of y^2-h/a^2 + x^2-k/b^2 = 1

i know how to solve this types

but the one on the x=y axis i know nothing about it :(

can any 1 help me with this qustion or at least give me the standerd formulla of this type of ellipse :(

waiting ur helps..

 

[LowlyPion]

Hi every body

I have a bounce marks on a quistion that i know nothing about

its about the Ellipse

the Qustion is

Find the standerd formula of the eelips which has foci on ( 1,1) and ( -1,-1)

and it has a major axis with 4 units.

i found that the center in at the origin and a = 2 and i didnt know anything else
-----------


i know the ellips on x-axis which has a formula of x^2-h/a^2 + y^2-k/b^2 = 1
and the ellips on the y-axis which has a formula of y^2-h/a^2 + x^2-k/b^2 = 1

i know how to solve this types

but the one on the x=y axis i know nothing about it :(

can any 1 help me with this qustion or at least give me the standerd formulla of this type of ellipse :(

waiting ur helps..

Welcome to PF.

Maybe have a look here:
http://en.wikipedia.org/wiki/Ellipse#Equations

Specifically:

Parametric form of an ellipse rotated counterclockwise by an angle ϕ:

 

[scoradition]

thanx man for the help

but i didnt get this point

http://upload.wikimedia.org/math/0/7/b/07b4f756310b5cf07b4feeee43cc1ca5.png

1- E^2 Cos ^2 theata

what is the thing looks like an e ??

and how can i find it

thanx again for the helpfull site

 

[LowlyPion]

thanx man for the help

but i didnt get this point

http://upload.wikimedia.org/math/0/7/b/07b4f756310b5cf07b4feeee43cc1ca5.png

1- E^2 Cos ^2 theata

what is the thing looks like an e ??

and how can i find it

thanx again for the helpfull site

That is the eccentricity of the ellipse. Read the entire article further up.

 

[scoradition]

hey man ...

englsih is not my language it is hard for me to find this thing

can u please give me the steps i should follow ?

 

[scoradition]

:( waiting ur help