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If point A is at (1, 2) and point B is at (4, 6), what is the section formula to

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Question: If point A is at (1, 2) and point B is at (4, 6), what is the section formula to find point C that divides AB in the ratio 1:2?

Options:

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

Correct Answer: (3, 5)

Solution: 

Using the section formula: C = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) = ((1*4 + 2*1)/(1+2), (1*6 + 2*2)/(1+2)) = (3, 5).

If point A is at (1, 2) and point B is at (4, 6), what is the section formula to

Practice Questions

Q1
If point A is at (1, 2) and point B is at (4, 6), what is the section formula to find point C that divides AB in the ratio 1:2?
  1. (2, 4)
  2. (3, 5)
  3. (2.5, 4)
  4. (3.5, 5)

Questions & Step-by-Step Solutions

If point A is at (1, 2) and point B is at (4, 6), what is the section formula to find point C that divides AB in the ratio 1:2?
  • Section Formula – The section formula is used to find a point that divides a line segment into a specific ratio.
  • Coordinate Geometry – Understanding the coordinates of points and how to manipulate them is essential in solving problems related to geometry.
  • Ratios – The ability to apply ratios correctly in the context of dividing segments is crucial for accurate calculations.
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