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Question

If the points A(3,2,4), B(1,1,1) and C(1,4,2) are collinear, then the ratio in which C divides AB is

A
1:2
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B
2:1
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C
1:2
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D
4:0
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Solution

The correct option is B 2:1
Let C divide AB in the ratio x:y.
Let us compare the x-coordinate of C by using section formula:
1=x×1+y×3x+y
x+3y=xy
x=2y
Hence, point C divides AB in the ratio 2:1. As the ratio is negative, it means C divides AB externally

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