- #1
seto6
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Homework Statement
The plane x+y+z=1 cuts the cylinder [tex]x^{2}[/tex]+[tex]y^{2}[/tex]=1 in an ellipse. Find the points on this ellipse that lie closests to and farthest from the origin.
Homework Equations
N/A
The Attempt at a Solution
first step was to determine the intersection of the plane and the cylinder.
so x+y+z=[tex]x^{2}[/tex]+[tex]y^{2}[/tex], but i am kinda stuck solving this
i got to this far but i am really stuck, (x-3)(x+2)+6+(y-3)(y+2)+6=z.
any hints will really be appriciated, since this is one of the past exam questions. if i can find the intersection i can go on from there.