If $\alpha x^2+2 \gamma x y+\beta y^2=0$ is the equation of pair of lines passing through the origin and perpendicular to the pair of lines $b h x^2+a b x y+a h y^2=0(\mathrm{a} \neq 0, \mathrm{~b} \neq 0)$, then $\frac{\alpha \beta}{\gamma^2}=$