find the ratio in which the points (-3,p) divides the line segment joining the points a(-5,-4) and b(-2,-3) in the ratio k:1
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Answer:
The ratio is 2:1 and point p is -10/3
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Given :
- A point (-3, p) divides the line segment joining points (-5, -4) and (-2, -3) in the ratio k : 1
To find :
- Ratio in which the line segment is divided; k : 1 = ?
Formulae required :
- Section formula
The section formula give the coordinates of point (x, y) which divides the line segment joining points ( x₁, y₁) and ( x₂, y₂) in in the ratio m : n.
Solution :
Using section formula
Comparing LHS and RHS
therefore,
- Ratio in which Line segment is divided is 2 : 1
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