JEE Main 2022 · 28 Jul · Shift 1, Mathematics question 22

Let $P(-2,-1,1)$ and $Q\left(\dfrac{56}{17},\dfrac{43}{17},\dfrac{111}{17}\right)$ be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are $\alpha,-1,\beta$, where both $\alpha$ and $\beta$ are integers of minimum absolute values, then $\alpha^2+\beta^2$ is equal to ______.