SOLUTION: Classify the conic section: 1. x^2 + y^2 = 36 A point B ellipse C circle D hyperbola E parabol F line I think the answer is b,but i just want to make sure thats right?

Question 161954: Classify the conic section:
1. x^2 + y^2 = 36
A point
B ellipse
C circle
D hyperbola
E parabol
F line
I think the answer is b,but i just want to make sure thats right? Thank you for your help!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Replace "x" with "x-0" and replace "y" with "y-0".

Rewrite as

Since the equation above fits the equation (which is the equation of any circle) where , and , this shows us that the equation is a circle.

Note: if you aren't entirely sure, solve for "y" and you should get a good idea of the conic section (this isn't foolproof)
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