The equation of the asymptotes of the hyperbola 2 x 2 + 5 x y + 2 y 2 - 11 x - 7 y - 4 = 0 is

 Equation of the asymptotes of the given hyperbola is$2x^2+5xy+2y^2-11x-7y+\lambda =0$

This equation should represent line pair 

So, $abc+2fgh-a{f}^2-b{g}^2-c{h}^2=0$

$a=2$  $b=2$  $c=\lambda$

$h=\frac{5}{2}$  $g=\frac{-11}{2}$  $f=-\frac{7}{2}$

$4\lambda +\frac{385}{4}-2\times \frac{49}{4}-2\times \frac{\left|2\right|}{4}-\lambda \times \frac{25}{4}=0$

$\Rightarrow -9\lambda +45=0$

$\Rightarrow \lambda =5$

$2x^2+5xy+2y^2-11x-7y+5=0$