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Find the ratio in which the line 2x+ 3y – 5 = 0 divides the line segment joining the points (8, –9) and (2,1). Also, find the coordinates of the point of division.

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Solution:

Let the line 2x + 3y – 5 = 0 divides the line segment joining the points A (8, – 9) and B (2,1) in the ratio λ: 1 at point P.

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