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What is the coordinates of the point that divides the line segment joining (3, 4

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Question: What is the coordinates of the point that divides the line segment joining (3, 4) and (9, 10) in the ratio 1:3?

Options:

  1. (6, 8)
  2. (5, 7)
  3. (4, 6)
  4. (7, 9)

Correct Answer: (6, 8)

Solution: 

Using the section formula: C = ((1*9 + 3*3)/(1+3), (1*10 + 3*4)/(1+3)) = (6, 8).

What is the coordinates of the point that divides the line segment joining (3, 4

Practice Questions

Q1
What is the coordinates of the point that divides the line segment joining (3, 4) and (9, 10) in the ratio 1:3?
  1. (6, 8)
  2. (5, 7)
  3. (4, 6)
  4. (7, 9)

Questions & Step-by-Step Solutions

What is the coordinates of the point that divides the line segment joining (3, 4) and (9, 10) in the ratio 1:3?
  • 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 dividing point.
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