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If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), w

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Question: If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), what are the coordinates of point C?

Options:

  1. (3.0, 4.0)
  2. (4.0, 5.0)
  3. (2.0, 3.0)
  4. (5.0, 6.0)

Correct Answer: (4.0, 5.0)

Solution: 

Using the section formula: C = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) = ((2*6 + 3*1)/(2+3), (2*8 + 3*2)/(2+3)) = (4.0, 5.0).

If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), w

Practice Questions

Q1
If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), what are the coordinates of point C?
  1. (3.0, 4.0)
  2. (4.0, 5.0)
  3. (2.0, 3.0)
  4. (5.0, 6.0)

Questions & Step-by-Step Solutions

If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), what are the coordinates of point C?
  • Section Formula – The section formula is used to find the coordinates of a point that divides a line segment into a specific ratio.
  • Ratio Division – Understanding how to apply the given ratio to determine the weighted contributions of the endpoints' coordinates.
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