SOLUTION: Which of the following equations represents an ellipse having a major axis of length 18 and foci located at 4,7) and 4,11)? (There's supposed to be a parenthesis there I can't put

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Which of the following equations represents an ellipse having a major axis of length 18 and foci located at 4,7) and 4,11)? (There's supposed to be a parenthesis there I can't put       Log On


   



Question 1100429: Which of the following equations represents an ellipse having a major axis of length 18 and foci located at 4,7) and 4,11)? (There's supposed to be a parenthesis there I can't put it something pops up.) I'm doing all this on my computer there really hasent been any examples on how to do these and there's no teacher lecturing all this which is why I need help with all these.
A.(x-9)^2/81+(y-4)^2/4=1
B.(x-4)^2/77+(y-9)^2/81=1
C.(x-9)^2/77+(y-4)^2/81=1
D.(x-4)^2/81+(y-9)^2/77=1
I don't think it's D or A

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the semi-minor length using,
c%5E2=b%5E2-a%5E2
c=%2811-7%29%2F2=4%2F2=2
2%5E2=9%5E2-a%5E2
a%5E2=81-4
a%5E2=77
%28x-4%29%5E2%2F77%2B%28y-9%29%5E2%2F81=1