Question

Give A (4-3) B (85) Find the co-ordinates of the point that divides segment AB in the ratio 3:1
by completing the following activity
Suppose point Cavide seg AB in the ratio 3:1​

Answer 1

Answer:

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Answer 2

Given,

Give A (4-3) B (85) Find the co-ordinates of the point that divides segment AB in the ratio 3:1  by completing the following activity

Suppose point Cavide seg AB in the ratio 3:1​

Answer

Co-ordinates of the Point A (x₁, y₁) = (4,-3)  

Co-ordinates of the Point B (x₂, y₂) = (8,5)

Ration of division ( m₁:m₂) = 3 : 1

Now, Using the Section Formula,  

P(x,y) = [(m₁x₂ + m₂x₁)/(m₁ + m₂) , (m₁y₂ + m₂y₁)/(m₁ + m₂)]

          = [(3 × 8 + 1 × 4)/(3 + 1) , (3 × 5 + 1 × -3)/(3 + 1)]

          = [28/4 , 12/4]

         = (7,3)  

Hence, the co-ordinates of the Point P is (7,3).

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