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Find the ratio in which point P (k, 7) divides the segment joining A (8, 9) and B (1, 2). Also find k.

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Find the ratio in which point P (k, 7) divides the segment joining A (8, 9) and B (1, 2). Also find k.

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Let A (x1, y2), B (x2, y2) and P (x, y) be the given points.

Here, x1 = 8, y1 = 9, x2 = 1, y2 = 2, x = k, y = 7

∴ By section formula,

∴ Point P divides seg AB in the ratio 2 : 5, and the value of k is 6.

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