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Find the coordinates of the point which divides the join of (- 1, 7) and (4, – 3) in the ratio 2:3. Q1

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How i solve the coordinates geometry question in easy way . Please help me to solve this question easily  this is very important question of coordinates geometry. 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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  1. Let P(x, y) be the required point. Using the section formula, we get

    x = (2×4 + 3×(-1))/(2 + 3) = (8 – 3)/5 = 1

    y = (2×-3 + 3×7)/(2 + 3) = (-6 + 21)/5 = 3

    Therefore, the point is (1, 3).

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