SOLUTION: Classify the conic section x^2 + y^2 = 121 A hyperbola B ellipse C point D circle E parabola F line I believe the answer is B. But I am not 100% sure, and Id love

Question 161957: Classify the conic section
x^2 + y^2 = 121
A hyperbola
B ellipse
C point
D circle
E parabola
F line

I believe the answer is B. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

The equation could be rewritten as (since adding/subtracting 0 doesn't affect the equation).

Also, take note that . So this also means that further becomes

Remember, the formula for any circle is where the center is at (h,k) and the radius is "r". Since the equation above fits this format, this shows us that the equation is a circle

Note: if you aren't entirely sure, solve for "y" and graph to get a visual clue (however, this won't fully confirm it every time)
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