Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

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, $-$2$\sqrt 2$), and given that a $-$ 2$\sqrt 2$ b = 3, then (a² + b² + ab) is equal to __________.