anonymous
  • anonymous
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**
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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
Directrix
  • Directrix
Write the problem here exactly as the instructions appear in your book.
anonymous
  • anonymous
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

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anonymous
  • anonymous
Eccentricity shall be given
anonymous
  • anonymous
the only thing given was:Find the equation for the ellipse with foci (1,1) and (-1,-1) and major axis of length 4
anonymous
  • anonymous
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
anonymous
  • anonymous
Easy
anonymous
  • anonymous
\[\frac{(x-y)^2}{16}+\frac{(x+y)^2}{8}=1\]
anonymous
  • anonymous
okay, but the titlted part, does that have any impact
anonymous
  • anonymous
Yep it changes orientation n xy plane
anonymous
  • anonymous
and how do i find that angle
anonymous
  • anonymous
Angle of major axis with with horizontal is 45deg same as angle between x-y and x axis
anonymous
  • anonymous
how did you determine that?
anonymous
  • anonymous
how did i determine what?
anonymous
  • anonymous
that the angle is 45 degrees
anonymous
  • anonymous
slope of x-y=0
Directrix
  • Directrix
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
anonymous
  • anonymous
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
Directrix
  • Directrix
I would not worry about the angle. The instructions did not ask for it.
anonymous
  • anonymous
great answer
anonymous
  • anonymous
Thanx
anonymous
  • anonymous
what about this problem:
anonymous
  • anonymous
|dw:1328702038043:dw|
anonymous
  • anonymous
it says to Transform the following equatioon by a rotaion of axes into an equation that has no cross product term
anonymous
  • anonymous
Put x=Xsin(t)-Ycos(t) y=Xsin(t)+Ycos(t) and solve for t
anonymous
  • anonymous
what angle do you get?
anonymous
  • anonymous
after doing :|dw:1328702371977:dw|
anonymous
  • anonymous
?
anonymous
  • anonymous
what angle do you get, you know the angle to plug into sin(t) and cos(t)
anonymous
  • anonymous
More complicated than appears origin is also shifted
anonymous
  • anonymous
No more ideas
anonymous
  • anonymous
i get -pi/12, but i am unsure
anonymous
  • anonymous
If it eliminates xy then it has to be the answer
anonymous
  • anonymous
but what is cos(-pi/12)
anonymous
  • anonymous
never mind ans will be accepted by your instructor any way it is
anonymous
  • anonymous
alright man thanks
anonymous
  • anonymous
cos(45-30)
anonymous
  • anonymous
but its -pi/12

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