0The standard equation of hyperbola with reference to its principal axis along the coordinate axis is given by x2/a2 - y2/b2 = 1, where b2 = a2 (e2 -1)
The foci of the hyperbola are S(ae, 0) and S’ = (-ae, 0)
Equations of the directrices are given by x = a/e and x = -a/e
The coordinates of vertices are A’ = (-a, 0) and A = (a,0)
The length of latus rectum is 2b2/a = 2a(e2 - 1)
The length of the transverse axis of the hyperbola is 2a.
The difference of the focal distances of any point on the hyperbola is constant and is equal to transverse axis.
x2/a2 - y2/b2 = 1 and -x2/a2 + y2/b2 = 1 are conjugate hyperbola of each other.
