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Identifying Conics from equations
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Parallel Lines
Missing a variable
hyperbola
x² and y² have different signs
intersecting lines
x² and y² have different signs and the right side equals 0
circle
both x² and y² are positive and have the same coefficient
Parabola
One term is squared and the other in linear
Point
both x² and y² are positive and the right side equals 0
No Solution
The right side is negative
Ellipse
Both x² and y² are positive but different coefficients