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Equation of a Plane Passing through Three Points

Find the rati...

Question

Find the ratio in which $X Z$ plane divides the line segment joining $A (- 2, 3, 4)$ and $B (1, 2, 3)$ .

A

- 1 : 2

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B

2 : 1

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C

2 : 3

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D

- 3 : 2

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Solution

The correct option is B $- 3 : 2$
$o n X Z p l a n e, y c o o r d i n a t e w i l l b e z e r o . l e t t h e r e q u i r e d r a t i o b e k : 1 a n d t h e p o i n t o f i n t e r s e c t i o n b e P, t h e n 0 = (\frac{2 k + 3}{k + 1}) o r K = (\frac{- 3}{2})$

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