Given that the points A(3, 2, -4), B(5, 4, -6) and C(9, 8, -10) are collinear, the ratio in which B divides $¯ ¯¯¯¯¯¯ ¯ A C$ is :

1 : 2

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2 : 1

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3 : 2

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2 : 3

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Solution

The correct option is A 1 : 2
$(\frac{9 m + 3 n}{m + n}, \frac{8 m + 2 n}{m + n}, \frac{10 m - 4 n}{m + n}) = (5, 4, - 6) \frac{m}{n} = \frac{1}{2}$

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