Find the points which divided the lines segments joining the point (1,7),(-6,-3) in the ratio 2:3
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x1= 1 , y1= 7
x2= -6 , y2= -3 m:n = 2 : 3
By section formula
x = mx2 + nx1 y = my2 + ny1
--------------- ---------------
m + n m + n
x = 2×(-6) + 3×1 y = 2×(-3) + 3×7
----------------- ----------------
2 + 3 2 + 3
x = -12 + 3 y = -6 + 21
--------- ---------
5 5
x = -9 y = 15
---- -----
5 5
x = -1.8 y = 3
(x,y) = (-1.8,3)
This is the intrsection point of
intersection point.
x2= -6 , y2= -3 m:n = 2 : 3
By section formula
x = mx2 + nx1 y = my2 + ny1
--------------- ---------------
m + n m + n
x = 2×(-6) + 3×1 y = 2×(-3) + 3×7
----------------- ----------------
2 + 3 2 + 3
x = -12 + 3 y = -6 + 21
--------- ---------
5 5
x = -9 y = 15
---- -----
5 5
x = -1.8 y = 3
(x,y) = (-1.8,3)
This is the intrsection point of
intersection point.
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