Quadratic equation in two variables
GPTKB entity
Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:coefficients |
A
B C D E F |
| gptkbp:degree |
2
|
| gptkbp:discriminant |
B^2 - 4AC
|
| gptkbp:field |
gptkb:algebra
gptkb:Analytic_geometry |
| gptkbp:graphType |
gptkb:Conic_section
|
| gptkbp:hasFeature |
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0
|
| gptkbp:hasSpecialCase |
Circle (if A = C, B = 0)
Ellipse (if B^2 - 4AC < 0) Hyperbola (if B^2 - 4AC > 0) Parabola (if B^2 - 4AC = 0) |
| gptkbp:relatedTo |
Quadratic form
Conic section equation |
| gptkbp:represents |
gptkb:Circle
gptkb:Parabola gptkb:Hyperbola gptkb:Conic_section Ellipse |
| gptkbp:solvedBy |
Locus of points
|
| gptkbp:usedIn |
gptkb:Algebraic_geometry
Coordinate geometry |
| gptkbp:variant |
x
y |
| gptkbp:bfsParent |
gptkb:Conics
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quadratic equation in two variables
|