If the orthocentre of the triangle, whose vertices are $(1,2)$, $(2,3)$ and $(3,1)$ is $(\alpha, \beta)$, then the quadratic equation whose roots are $\alpha + 4\beta$ and $4\alpha + \beta$, is\\
(1) $x^2 - 19x + 90 = 0$\\
(2) $x^2 - 18x + 80 = 0$\\
(3) $x^2 - 22x + 120 = 0$\\
(4) $x^2 - 20x + 99 = 0$