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If the rectangle exists, the values that cancel the area are " forbidden".
Then
C)possible values for k
b) the area is
a) The coordinates of C are:
(k ; 16-k^2)
The coordinates of D are:
(-k ; 16-k^2)
This website is great, congratulations, from Paris, France.
Now I agree! and as we say in my country, merci...
JaneFairfax, thanks for your help. I have a question though: how can you get only positive terms inside the square root, even after simplification, when you have negative terms? I did expand and simplify several times, and I get a
the sum of the distances from the point (x,y) on an ellipse to the points (-e,0) and (e,0) (where e>0) is constant and equal to S. Use this characterization of the ellipse to show that its equation in the xy-plane is x^2/a^2 + y^2/b^2 = 1, where a^2 = (S/2)^2 and b^2 = (S/2)^2 - e^2
I am using the vector form for the 2 distances, and I get S^2 = 4(x^2) + 4(y^2)
where did I go wrong?
Thanks to all for your help!
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