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 $\frac{\alpha \beta}{\gamma^2}=$

• A

  $\frac{h^2}{a b}$
• B

  $\frac{-2 h^2}{a b}$
• C

  $\frac{-h^2}{a b}$
• Correct answer
  D

  $\frac{4 h^2}{a b}$

Hence, the correct answer is option: 'D'.