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Section Formula

If the ratio ...

Question

If the ratio in which XY-plane divides the line segment joining $A (2, 4, 5)$ and $B (3, 6, - 4)$ is $m : n$ .Find $m + n$

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Solution

$L e t t h e p o i n t o n X - Y p l a n e b e (a, b, 0) a n d r a t i o o f d i v i s i o n b e k : 1 t h e n 0 = (\frac{- 4 k + 5}{k + 1}) o r k = (\frac{5}{4}) = (\frac{m}{n}) ∴ m + n = 5 + 4 = 9$

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