Question

P(-3,7), Q(1,-4), a:b=2:1 find the co-ordinates of point A which divides segment PQ in the ratio a:b.

Answer 1

Given, 
Co-ordinates of the Point P (x₁, y₁) = (-3,7) 
Co-ordinates of the Point Q (x₂, y₂) = (1,-4)

Ration of division ( m₁:m₂) = 2 : 1

Now, Using the Section Formula, 

 A(x,y) = [(m₁x₂ + m₂x₁)/(m₁ + m₂) , (m₁y₂ + m₂y₁)/(m₁ + m₂)]
           = [( 2 × 1 +  1 × -3 )/(2 + 1) , (2 × -4  +  1 × 7  )/(2 + 1)]          
          = [-1/3 , -1/3]
          = (-1/3,-1/3) 


Hence, the co-ordinates of the Point A is (-1/3,-1/3).


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Answer 2

Answer:

attached above

Step-by-step explanation:

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