SOLUTION: Identify this conic section. 9x 2 + 4y 2 = 36 line circle ellipse parabola hyperbola

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Question 1003678: Identify this conic section.
9x 2 + 4y 2 = 36
line
circle
ellipse
parabola
hyperbola
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Identify this conic section.
9x 2 + 4y 2 = 36.
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It is ellipse.

To prove it,  divide both sides of the equation by  36.  You will get

x%5E2%2F4 + y%5E2%2F9 = 1,     or

x%5E2%2F2%5E2 + y%5E2%2F3%5E2 = 1.

It is the canonical equation of the ellipse.