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

Solution (By Examveda Team)

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