If the points $(1, 1, \lambda)$ and $(23, 0, 1)$ are equidistant from the plane, $3x+4y-12z+13=0,$ then $\lambda$ satisfies the equation :

Question

$\begin{array}{1 1} 3x^2-10x+7=0 \\ 3x^2+10x+7=0 \\ 3x^2+10x-13 =0 \\ 3x^2-10x+21 =0 \end{array} $