Let the normals at all the points on a given curve pass through a fixed point ( a, b ). If the curve passes through (3,-3) and (4,-2 √ 2 ), and given…

Let the normals at all the points on a given curve pass through a fixed point $\displaystyle (\mathrm{a}, \mathrm{b})$. If the curve passes through $\displaystyle (3,-3)$ and $\displaystyle (4,-2 \sqrt{2})$, and given that $\displaystyle \mathrm{a}-2 \sqrt{2} \mathrm{~b}=3$, then $\displaystyle \left(\mathrm{a}^2+\mathrm{b}^2+\mathrm{ab}\right)$ is equal to \_\_\_\_.