SOLUTION: Is {{{3y^2 - 16y - x^2 +36 = 0}}}, the conic section is a hyperbola; a circle

Question 1015227: Is , the conic section is a hyperbola; a circle
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Is 3y^2 - 16y - x^2 + 36 = 0 a circle?
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No.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let be the general form of the equation of a conic section in cartesian coordinates.
Then
if , the conic section is a hyperbola;
if , the conic section is a parabola;
if , the conic section is a ellipse.
The given equation equation can be rewritten as

in general form
Since for the given equation , the conic section is a hyperbola. The equation does NOT represent a circle.

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