Mathematics Question from JEE Main 2025 · 3 April, Shift 2

Consider the lines $x(3\lambda + 1) + y(7\lambda + 2) = 17\lambda + 5$, $\lambda$ being a parameter, all passing through a point $P$. One of these lines (say $L$) is farthest from the origin. If the distance of $L$ from the point $(3, 6)$ is $d$, then the value of $d^2$ is