Find the value of $\text{ ' }\mathrm{\lambda }\text{ ', if the lines }2\mathrm{x}-3\mathrm{y}+\mathrm{\lambda }=0\text{, }$3x–4y–13=0 and 8x–11y–33=0 are concurrent.

$\text{ The given lines are }2\mathrm{x}-3\mathrm{y}+\mathrm{\lambda }=0\dots \left(1\right)\text{, }$3x – 4y – 13 = 0...(2), 8x – 11y – 33= 0...(3). 
if (h,k) be the point of intersection of (2) and (3) then 3h – 4k – 13 = 0, 8h – 11k – 33 = 0.
Solving for h and k we get h = 11, k = 5.
Since three lines are concurrent, the point (11, 5) should satisfy the equation (1).
$\therefore 2\left(11\right)-3\left(5\right)+\mathrm{\lambda }=0\Rightarrow \mathrm{\lambda }=-7$