The difference between the second degree curve and pair of asymptotes is constant. If second degree curve represented by a hyperbola $\mathrm{S}=0$, then equation of its asymptotes is $\mathrm{S}+\mathrm{\lambda }=0$ where $\mathrm{\lambda }$ is constant. which will be a pair of straight lines, then we get $\mathrm{\lambda }$. Then equation of asymptotes is $\mathrm{A}\equiv \mathrm{S}+\mathrm{\lambda }=0$ and if equation of conjugate hyperbola of S represented by ${\mathrm{S}}_1$ , then A is the arithmetic mean of S and ${\mathrm{S}}_1$