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Find the ratio in which the point P (x, 2) divides the join of A (12, 5) and B (4, -3).

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Find the ratio in which the point P (x, 2) divides the join of A (12, 5) and B (4, -3).

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If point P (x, 2) divides the join of A (12, 5) and B (4, -3), then

using section formula, we get

2 = (m x (-3) + n x (5)) / (m + n)

2m + 2n = -3m + 5n

5m = 3n

m/n = m:n = 3:5

The required ratio is 3:5.

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