Question

find the ratio in which (2,1) divides the line segment joining (1,4) ,(4,-5)​

Answer 1

Step-by-step explanation:

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Answer 2

Let the ration be k : 1.

x₁ = 1 , x₂ = 4 , y₁ = 4 , y₂ = -5 , x = 2 , y = 1

We know that,

x = ( mx₂ + nx₁ ) / m + n

2 = ( 4k + 1 ) / k + 1

4k + 1 = 2k + 2

2k - 1 = 0

k = 1 / 2

Hence the ration is 1 : 2 .

You can also solve it form

y = ( my₂ + ny₁ ) / ( m + n )