MAC1106 Lecture Notes - Lecture 31: Hyperbola

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Provide a generalization to each of the key terms listed in this section*. The general collection of all of the points in the plane. A constant that is also the di erence of the distances from the two xed points. The general line segment"s midpoint that is joining the foci. The given line that goes through the center and is also perpendicular to the transverse axis. The two separate curves of a hyperbola that are symmetric, but with respect to the traverse axis, center, and the conjugate axis. The two points of intersection from both the hyperbola and transverse axis. The distance from one vertex to another vertex. Transverse axis along the x-axis y2 x2 b2 = 1 a2 b2 = c2 a2. F oci : ( c, 0) and (c, 0) V ertices : ( a, 0) and (a, 0) Transverse axis along the y -axis y2 x2 b2 = 1 a2 b2 = c2 a2.

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