Terms in Hyperbola
o The two fixed points are called the foci of the hyperbola . o The mid-point of the line segment joining the foci is called the centre of the hyperbola . o The line through the foci is called the transverse axis o Line through centre & perpendicular to transverse axis is called conjugate axis . o Points at which hyperbola intersects transverse axis are called vertices . o Asymptotes
Distance between the two foci = 2c Distance between two vertices ( the length of the transverse axis ) = 2a Length of conjugate axis = 2b Relation : b 2 = c 2 – a 2 Eccentricity , e = c / a . Since c ≥ a , the eccentricity is never less than one .