find the ratio in which level 5 divide the line segment joining the point 15, 5 and 9, 20
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Step-by-step explanation:
Hi !
We have to apply section formula to find the answer .
Let the point P(11,15) divide the line segment AB in the ratio m₁:m₂
A = (15,5) ==> x₁ = 15 , y₁ = 5
A = (9,20) ==> x₂ = 9 , y₂ = 20
P = (11,15) ==> x = 11 , y = 15
Here is the formula :-
x =m2x1 +m1x2/m1+m2
11 = m1y2+m2y1/m1+m2
11(m₁ + m₂) = 9m₁ + 15m₂
11m₁ + 11m₂ = 9m₁ + 15m₂
2m₁ = 4m₂
m₁/m₂ = 4/2
m₁/m₂ = 2/1
The ratio is 2:1
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