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A (15, 5), B (9, 20) and A-P-B. Find the ratio in which point P (11, 15) divides segment AB.

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A (15, 5), B (9, 20) and A-P-B. Find the ratio in which point P (11, 15) divides segment AB. Find the ratio using x and y co-ordinates. Write the conclusion.

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Suppose point P (11,15) divides segment AB in the ratio m : n. 

By section formula,

∴ Point P divides seg AB in the ratio 2 : 1. 

The ratio obtained by using x and y co-ordinates is the same.

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