If $\mathrm{H}(\mathrm{x}, \mathrm{y})=0$ represents the equation of a hyperbola and $\mathrm{A}(\mathrm{x}, \mathrm{y})=0, \mathrm{C}(\mathrm{x}, \mathrm{y})=0$ the joint equation of its asymptotes and the conjugate hyperbola respectively, then for any point $\left(\mathrm{a}, \mathrm{b}\right)$ in the plane $\mathrm{H}\left(\mathrm{a}, \mathrm{b}\right), \mathrm{A}\left(\mathrm{a}, \mathrm{b}\right) \mathrm{and} \mathrm{C}\left(\mathrm{a}, \mathrm{b}\right)$ are in