Let two points be A (1,-1) and B (0,2). If a point P (x^′, y^′) be such that the area of Δ PAB =5 sq. units and it lies on the line, 3 x+y-4 λ=0,…

Let two points be $\displaystyle \mathrm{A}(1,-1)$ and $\displaystyle \mathrm{B}(0,2)$. If a point $\displaystyle \mathrm{P}\left(x^{\prime}, y^{\prime}\right)$ be such that the area of $\displaystyle \Delta \mathrm{PAB}=5$ sq. units and it lies on the line, $\displaystyle 3 x+y-4 \lambda=0$, then a value of $\displaystyle \lambda$ is :