AIEEE 2012 (Offline) 29th April Code AQuestion 1
If the line $2x+y=k$ passes through the point which divides the line segment joining the points $(1,1)$ and $(2,4)$ in the ratio $3:2$, then $k$ equals :
Points and Straight Lines
Solution
The point is $\left(\frac{3\cdot2+2\cdot1}{5},\frac{3\cdot4+2\cdot1}{5}\right)=\left(\frac85,\frac{14}5\right)$, so $k=\frac{16}5+\frac{14}5=6$.