Let two straight lines drawn from the origin O intersect the line 3 x+4 y=12 at the points P and Q such that OPQ is an isosceles triangle and ∠ POQ…

Let two straight lines drawn from the origin O intersect the line $\displaystyle 3 x+4 y=12$ at the points $\displaystyle P$ and $\displaystyle Q$ such that $\displaystyle \triangle \mathrm{OPQ}$ is an isosceles triangle and $\displaystyle \angle \mathrm{POQ}=90^{\circ}$. If $\displaystyle l=\mathrm{OP}^2+\mathrm{PQ}^2+\mathrm{QO}^2$, then the greatest integer less than or equal to $\displaystyle l$ is :