Let the tangent drawn to the parabola $\mathrm{y}^2=24 \mathrm{x}$ at the point $(\alpha, \beta)$ is perpendicular to the line $2 \mathrm{x}+2 \mathrm{y}=5$. Then the normal to the hyperbola $\frac{x^2}{\alpha^2}-\frac{y^2}{\beta^2}=1$ at the point $(\alpha+4, \beta+4)$ does NOT pass through the point: