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Question 85
What are coordinates of the point that divides the line segment joining the points (4, 4) and (8, 12) internally in the ratio of 3 : 5?
Solution
The section formula to find the point dividing the line is $$\ \frac{\ na+mb}{n+m}$$ where the ratio is n:m and the coordinates (x or y axis) are a and b.
Applying the same for x-coordinate: $$\ \frac{\ 44}{8}$$, which is equal 5.5
For y-coordinate: $$\ \frac{\ 56}{8}$$ which is 7.
Hence, the point is (5.5 , 7)
