Find the value of `lambda` , if the line `3x-4y-13=0,8x-11 y-33=0 `a n d `2x-3y+lambda=0` are concurrent.

Explanation

The given equations are

`3x−4y−13=0 ----(1)`

`8x−11y−33=0 -----(2)`

and `2x−3y+lambda=0 ----(3)`

Solving (1) and (2), we get

`x =11 and y=5`

So, `(11,5)` is the point of intersection of (1) and (2).

The given lines will be concurrent if they pass through a common point, i.e., the point of intersection of any two lines lies on the third.

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