The focus of the parabola y^2=4 x+16 is the centre of the circle C of radius 5. If the values of λ, for which C passes through the point of…

The focus of the parabola $\displaystyle y^2=4 x+16$ is the centre of the circle C of radius 5. If the values of $\displaystyle \lambda$, for which C passes through the point of intersection of the lines $\displaystyle 3 x-y=0$ and $\displaystyle x+\lambda y=4$, are $\displaystyle \lambda_1$ and $\displaystyle \lambda_2, \lambda_1<\lambda_2$, then $\displaystyle 12 \lambda_1+29 \lambda_2$ is equal to $\displaystyle \_\_\_\_$.