SOLUTION: Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).

Question 553750: Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).
**
Based on given foci, equation is that of an ellipse with horizontal major axis: Its standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1
For given equation:
center: (4,2)
given length of major axis=12=2a
a=6
a^2=36
..
c=4 (distance from center to focus on horizontal major axis)
c^2=a^2-b^2
b^2=a^2-c^2=36-16=20
Equation of given ellipse:
(x-4)^2/36+(y-2)^2/20=1
RELATED QUESTIONS
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 10 and foci at (5,2) and... (answered by lwsshak3)

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

Equation for ellipse with center (0,0) major axis length 6, minor axis length 2, and foci (answered by lwsshak3)

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

Write the equation of an ellipse with foci (0, 18) and (0, �12) and major axis length 34. (answered by lwsshak3)

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

E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20... (answered by lwsshak3)

Which is the equation of an ellipse centered at the origin with foci on x-axis, major... (answered by fractalier)