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Secondary SchoolMath 6+3 pts

Find the ratio in which (11,15) divides the line segment joining the points (15,5) and (9,20)

Report by Aka123 27.09.2017

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Deepikakvvk06 Maths AryaBhatta

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 = \frac{ m_{1} x_{2} + m _{2}x_{1} }{m_{1}+ m _{2} }

11 = \frac{ 9m_{1} + 15m _{2} }{m_{1}+ m _{2} }

11(m₁ + m₂) = 9m₁ + 15m₂

11m₁ + 11m₂ = 9m₁ + 15m₂

2m₁ = 4m₂

m₁/m₂ = 4/2

m₁/m₂ = 2/1