Question 1161790: Find the ratio of the major axis to the minor axis of the ellipse: 9x^2+4y^2-24y-72x-144=0 Found 2 solutions by greenestamps, Alan3354:Answer by greenestamps(13200) (Show Source):
The ratio of the lengths of the major and minor axes of an ellipse whose equation in standard form contains terms of and is .
ANSWER: 3:2
To find the LENGTHS of the major and minor axes, you need to work with the given equation to put it in some standard form. But you don't need to do that to find the RATIO of the lengths.
You can put this solution on YOUR website! Find the ratio of the major axis to the minor axis of the ellipse: 9x^2+4y^2-24y-72x-144=0
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9x^2-72x + 4y^2-24y = 144
9x^2-72x+144 + 4y^2-24y+36 = 144+144+36
(3x-12)^2 + (2y-6)^2 = 324 = 18^2
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Major axis = 18
Minor axis = 12
