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If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of poi

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Question: If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of point P that divides AB in the ratio 2:3?

Options:

  1. (5.4, 3.6)
  2. (6, 4)
  3. (5, 3)
  4. (4, 2)

Correct Answer: (5.4, 3.6)

Solution:

Using the section formula: P = ((2*9 + 3*3)/(2+3), (2*1 + 3*5)/(2+3)) = (5.4, 3.6).

If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of poi

Practice Questions

Q1
If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of point P that divides AB in the ratio 2:3?
  1. (5.4, 3.6)
  2. (6, 4)
  3. (5, 3)
  4. (4, 2)

Questions & Step-by-Step Solutions

If point A is at (3, 5) and point B is at (9, 1), what is the coordinates of point P that divides AB in the ratio 2:3?
  • Section Formula – The section formula is used to find the coordinates of a point that divides a line segment into a specific ratio.
  • Coordinate Geometry – Understanding how to work with coordinates in a Cartesian plane to solve problems related to points and lines.
  • Ratios – The concept of dividing a segment in a given ratio, which involves understanding proportional relationships.
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