find the co-ordinates of point which divides the join of (-1,7)and (4,-3) in the ratio 2:3
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Let the required co-ordinates be (x,y), then,
⇒m₁=2 ; m₂=3 ; x₁=(-1) ; x₂=4 ; y₁=7 ; y₂=(-3)
we know that,
m₁x₂+m₂x₁/m₁+m₂ , m₁y₂+m₂y₁/m₁+m₂=(x,y)
2(4)+3(-1)/2+3 , 2(-3)+3(7)/2+3=(x,y)
8-3/5 , 21-6/5 = (x,y)
5/5 , 15/5=(x,y)
(1,3)=(x,y)
⇒∴(3,1) are the co-ordinates of the point which divides the join of (-1,7)and (4,-3) in the ratio 2:3
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