Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

Answer: Option D

Solution

Answer: Option D

Solution:

$$\begin{array}{rl}& \text{Now,}\\ & \Rightarrow 1=\frac{2y-9}{5}\\ & \Rightarrow 5=2y-9\\ & \Rightarrow y=7\end{array}$$