to find coordinates and the ratio
Asked by meghapte | 7th Feb, 2010, 10:38: AM
The equation of line joining the points (-1,3) and (9,8),
Y = MX + C .....................where M = slope = 5/10 = 1/2
Y = X/2 + 7/2 ...........C, intercept at y-axis is found by using the point, (-1,3).
The coordinates of the point of division (a,b) will be the coordinates of intersection of these two lines,
2Y = X + 7 and x - y = -2
2b = a + 7 and a - b = -2,
a = 3, b = 5.
Now, using section formula,
3 = (-n + 9m)/(m+n) or
3 = (-1 + 9m/n)/(m/n + 1)
3m/n + 3 = -1 + 9m/n
m/n = 4/6 = 2/3.
The division ratio will be 2:3
Answered by | 7th Feb, 2010, 11:34: AM
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