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Question

Question 1
Find the coordinates of the point which divides the join of (- 1, 7) and (4, - 3) in the ratio 2:3.

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Solution

Let P(x, y) be the required point. Using the section formula, we get
x=2×4+3×(1)2+3=835=55=1
y=2×(3)+3×72+3=6+215=155=3
Therefore, the point is (1, 3).

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