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

Question 161955: Classify the conic section:
x^2 - y^2 = 36
A circle
B hyperbola
C parabola
D point
E line
F ellipse

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". Replace "y" with "y-0"

Divide EVERY term by 36 to make the right side equal to 1.

Reduce

Rewrite as

Since the last equation follows the form (which is the general equation of an hyperbola) where , , and , this means that the equation is an ellipse.

So you are correct.
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