In the $xy$-plane, three distinct lines $l_1, l_2, l_3$ concur at a point $(\lambda, 0)$. Further the lines $l_1, l_2, l_3$ are normals to the parabola $y^2 = 6x$ at the points $A = (x_1, y_1), B = (x_2, y_2), C = (x_3, y_3)$ respectively. Then we have