List of top Mathematics Questions on Coordinate Geometry asked in KCET

The line $L_{1}$ joining the two points $(-1, 2)$ and $(3, 6)$ divides the line $L_{2}$ which passes through $(3, -1)$ in the ratio $1 : 3$ internally, then the equation of $L_{2}$ is

The area of the triangle with vertices $(3, 8), (-4, 2)$ and $(5, 1)$ is $\frac{P}{4}$, then the value of $P$ is