the difference of the focal distances at any point on a hyperbola is constant and equal to the length of - Maths - Conic Sections

Question

the difference of the focal distances at any point on a hyperbola
is constant and equal to the length of the transverse axis prove

Rishabh Mittal · Accepted Answer

We know Focal distances for parabola are ae2-1 and ae2+1Difference of focal lengths=ae2+1-ae2-1=2a=Length of the transverse axes 
Hence Proved

the difference of the focal distances at any point on a hyperbola is constant and equal to the length of the transverse axis..prove