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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).
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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
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