Hyperbola
Definition 1
The set of points on a plane whose difference in distances to two distinct points $F$, $F^{\prime}$ is constant is called a hyperbola.
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- The points $F$, $F^{\prime}$ are called focus.
- The midpoint of segment $\overline{FF^{\prime}}$ is called center.
- The two points where the hyperbola intersects segment $\overline{FF^{\prime}}$, $A$, $A^{\prime}$, are called vertices.
- The segment $\overline{AA^{\prime}}$ is called major axis.
Description
Method of Discrimination
For a given quadratic curve $Ax^{2} + Bxy + Cy^{2} + Dx + Ey + F = 0$, $\Delta = B^{2} - 4AC$ is called the discriminant. A quadratic curve is a hyperbola if the discriminant is positive.
EBS, 2023학년도 수능완성 수학영역 수학Ⅰ·수학Ⅱ·기하, p76 ↩︎