Consider the lines x(3 λ+1)+y(7 λ+2)=17 λ+5, λ being a parameter, all passing through a point P. One of these lines (say L ) is farthest from the…

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