Let the function \( f(x) = (x^{2}-1)\lvert x^{2}-ax+2 \rvert + \cos \lvert x \rvert \) be not differentiable at the two points \( x = \alpha = 2 \) and \( x = \beta \). Then the distance of the point \( (\alpha,\beta) \) from the line \( 12x + 5y + 10 = 0 \) is equal to: