Ellipse on x=y Axis: Find Standard Formula

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The discussion revolves around finding the standard formula for an ellipse with foci at (1,1) and (-1,-1) and a major axis of 4 units. The user identifies the center at the origin and calculates a as 2 but struggles with the formula for an ellipse aligned along the x=y axis. They express confusion about the eccentricity of the ellipse, represented by the letter "e," and request step-by-step guidance due to language barriers. The conversation includes references to standard formulas for ellipses on the x and y axes, but the user specifically seeks help for the rotated case. Overall, the thread highlights the challenges of understanding ellipse equations in different orientations.
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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..
 
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scoradition said:
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:
 
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 ?
 
:( waiting ur help
 
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