Question 571013: Write the equation of an ellipse with foci (0, 18) and (0, —12) and major axis length 34. Please Hurry!
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation of an ellipse with foci (0, 18) and (0, —12) and major axis length 34.
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Standard form of equation for an ellipse with vertical major axis:
(x-h)^2/b^2+(y-k)2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.
for given equation:
center: (0,3)
length of major axis=34=2a
a=17
a^2=289
..
c=15
c^2=225
..
c^2=a^2-b^2
b2=a2-c2=289-225=64
..
Equation of given ellipse:
(x)^2/64+(y-3)^2/289=1
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