Question

Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4

**seems to shifted an angle in the xy coordinates**

Answer 1

The question say to identify the type of conic section whose equation is given and find the vertices and foci, i am unsure wheter i should mention that its seems to on an angle or do i just go ahead and write down the equation for this ellipse

Answer 2

Write the problem here exactly as the instructions appear in your book.

Answer 3

identify the type of conic section whose equation is given and find the vertices and foci:
Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4

Answer 4

Eccentricity shall be given

Answer 5

the only thing given was:Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4

Answer 6

i have no problem finiding the equation, but its just that it looks tilted on the xy coordinate system, and i am wondering if i should find the angle its tilted on and how would i do so

Answer 7

Easy

Answer 8

\[\frac{(x-y)^2}{16}+\frac{(x+y)^2}{8}=1\]

Answer 9

okay, but the titlted part, does that have any impact

Answer 10

Yep it changes orientation n xy plane

Answer 11

and how do i find that angle

Answer 12

Angle of major axis with with horizontal is 45deg
same as angle between x-y and x axis

Answer 13

how did you determine that?

Answer 14

how did i determine what?

Answer 15

that the angle is 45 degrees

Answer 16

slope of x-y=0

Answer 17

Click the link to see the ellipse with equation: (x-y)^2/(16) + (x+y)^2/(8) =1

http://www.wolframalpha.com/input/?i=%28x-y%29%5E2%2F%2816%29+%2B+%28x%2By%29%5E2%2F%288%29+%3D1

Answer 18

i see its shifted at what looks like a 45 degree angle, but i am still unclear how to determine its a 45 degree angle

Answer 19

I would not worry about the angle. The instructions did not ask for it.

Answer 20

great answer

Answer 21

Thanx

Answer 22

what about this problem: