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The ratio in which the plane $2 x - 3 y + 6 z = 5$ divides the line segment joining the points $(2, 3, - 1), (- 1, 4, 2)$ is

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3 : 5

9 : 11

16 : 7 externally

16 : 7

answer is D.

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Detailed Solution

$\frac{- π}{π_{22}} = \frac{- (4 - 9 - 6 - 5)}{(- 2 - 12 + 12 - 5)}$

$= \frac{- (- 16)}{- 7} = \frac{- 16}{7}$

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