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If a point P divides the segment joining A(1, 2) and B(5, 6) in the ratio 3:1, w

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

Options:

  1. (3, 4)
  2. (4, 5)
  3. (2.5, 3.5)
  4. (3.5, 4.5)

Correct Answer: (3.5, 4.5)

Solution: 

Using the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) = ((3*5 + 1*1)/(3+1), (3*6 + 1*2)/(3+1)) = (3.5, 4.5).

If a point P divides the segment joining A(1, 2) and B(5, 6) in the ratio 3:1, w

Practice Questions

Q1
If a point P divides the segment joining A(1, 2) and B(5, 6) in the ratio 3:1, what are the coordinates of P?
  1. (3, 4)
  2. (4, 5)
  3. (2.5, 3.5)
  4. (3.5, 4.5)

Questions & Step-by-Step Solutions

If a point P divides the segment joining A(1, 2) and B(5, 6) 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.
  • Ratio Division – Understanding how to apply the ratio to the coordinates of the endpoints to find the coordinates of the dividing point.
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