Point A divides segment BC in the ratio 4 : 1 Co-ordinates of B are (6, 1) and C are ( 7/2,\,6 ). What are the co-ordinates of point A?

Answer: Option B

Solution

Answer: Option B

Solution:

$$\begin{array}{rl}& x=\frac{4\times \frac{7}{2}+1\times 6}{4+1}\Rightarrow 4\\ & y=\frac{4\times 6+1\times 1}{4+1}\Rightarrow 5\\ & \text{A}\left(4,5\right)\end{array}$$