The ratio in which the line joining the points (a, b, c) and (-a, -c, -b) is
divided by the xy-plane is
[MP PET 1994]

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Solution

The correct option is D

Let the ratio be k : 1. Since on xy - plane z = 0
$\Rightarrow \frac{- b k + c}{k + 1} = 0 \Rightarrow k = \frac{c}{b}$ . Hence the ratio is c : b.
Aliter: Using formula, required ration is $- \frac{c}{- b} = c : b$

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