Two vertices of a triangle ABC are A (3,-1) and B (-2,3), and its orthocentre is P (1,1). If the coordinates of the point C are (α, β) and the centre…

Two vertices of a triangle ABC are $\displaystyle \mathrm{A}(3,-1)$ and $\displaystyle \mathrm{B}(-2,3)$, and its orthocentre is $\displaystyle \mathrm{P}(1,1)$. If the coordinates of the point C are $\displaystyle (\alpha, \beta)$ and the centre of the of the circle circumscribing the triangle PAB is (h,k), then the value of $\displaystyle (\alpha+\beta)+2(\mathrm{~h}+\mathrm{k})$ equals