JEE Previous Year Question

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

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.