14 The coordinates of the point which divides the line segment joining the points (4-3) and (9.7) internally in the ratio 3:2 is
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We know that by section formula, the co-ordinates of the points which divide internally the line segment joining the points (x1,y1) and (x2,y2) in the ratio m:n is
(x,y)=(m+nmx2+nx1,m+nmy2+ny1)
The end points of AB are A(4,-3) and B(9,7).
Therefore,
(x1=4,y1=−3) and (x2=9,y2=7)
Also, m=3 and n=2
Let the required point be P(x,y).
Using section formula,
x=m+nmx2+nx1,y=m+nmy2+ny1
x=53×9+2×4=7,y=53×7+×−3=3
so answer will be p(7, 3)
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Answer - p(7,3)
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