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The $x y -$ plane divides the line joining the points $(- 1, 3, 4)$ and $(2, - 5, 6)$

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Internally in the ratio $3 : 2$

Externally in the ratio $3 : 2$

Externally in the ratio $2 : 3$

Internally in the ratio $2 : 3$

answer is C.

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Detailed Solution

Required ratio $= - \frac{z_{1}}{z_{2}} = - (\frac{4}{6}) = - \frac{2}{3}$

$∴$ $x y -$ plane divide externally in the ratio $2 : 3 .$

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