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Question:

The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the _____________ quadrant.

Answer:

Let P(h, k) be the required point. Using the section formula, we get

 

Therefore, P(6, -5) is the required point. 
P(6, -5) lies in the 4th Quadrant.    

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