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4. The co-ordinates of the point P dividing the line segment joining the points A (1.3) and B
(4,6) internally in the ratio 2:1 are
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let the point be P(x,y).
ratio = 2:1
m=2 n=1
A(1,3) B(4,6)
According to section formula,
P(x,y) = { (mx2 + nx1)/ (m+n) , (my2 + ny1)/ (m+n)
= { (2 x 4) + (1 x 1) / 2+1 , (2 x 6) + (1 x 3) / 2+1 }
= { 8+1/3 , 12 +3/3 }
= { 9/3 , 15/3 }
= (3,5)
Therefore, the coordinates of the Point P are (3,5).
Hope this helps!!
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