SOLUTION: Write the equation of an ellipse with foci (0, 18) and (0, �12) and major axis length 34. Please Hurry!

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.
**
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

RELATED QUESTIONS
Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length... (answered by ikleyn)

Find an equation for the ellipse with center (3, 0), foci (3, �2) and major axis... (answered by KMST)

Find an equation for the ellipse with center(5, 0),foci(5, �4)and major axis of length... (answered by MathLover1)

Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and... (answered by lwsshak3)

write an equation for an ellipse with major axis of length 12 and foci at (7,2) and... (answered by lwsshak3)

Find an equation for an ellipse with major axis of length 10 and foci at (0,-4) and... (answered by lwsshak3)

Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3)... (answered by ewatrrr)

Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3)... (answered by lwsshak3)

write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (answered by lwsshak3)