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If a point P divides the segment joining A(2, 3) and B(8, 7) in the ratio 3:1, w

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Question: If a point P divides the segment joining A(2, 3) and B(8, 7) in the ratio 3:1, what are the coordinates of P?

Options:

  1. (5, 4)
  2. (6, 5)
  3. (7, 6)
  4. (4, 5)

Correct Answer: (6, 5)

Solution: 

Using the section formula: P = ((3*8 + 1*2)/(3+1), (3*7 + 1*3)/(3+1)) = (6, 5).

If a point P divides the segment joining A(2, 3) and B(8, 7) in the ratio 3:1, w

Practice Questions

Q1
If a point P divides the segment joining A(2, 3) and B(8, 7) in the ratio 3:1, what are the coordinates of P?
  1. (5, 4)
  2. (6, 5)
  3. (7, 6)
  4. (4, 5)

Questions & Step-by-Step Solutions

If a point P divides the segment joining A(2, 3) and B(8, 7) in the ratio 3:1, what are the coordinates of P?
  • Section Formula – The section formula is used to find the coordinates of a point that divides a line segment in a given ratio.
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