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Question:
how do we know that question is asking for internally or externally section formula in ch 3-D geometry
Answer:

Generally, it is indicated in the language of the question, whether you have to use internal or external section formula.

In some questions, we assume, point is cutting the line segment internally and we calculate the ratio:
If the ratio is negative, that means Point was cutting the line segment externally, otherwise internally.

 

If you practice 8-10 good questions on ratio, you will get an idea. 

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