in what ratio does the x axis divide the line segment joining the points (-4,-6)and (-1,7) ? find the co-ordinate of the point of division.
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Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in the ratio 1 : k.
Now, coordinates of point of division P are
x coordinate = (-1 - 4k) / (k + 1)
y coordinate = (7 - 6k) / (k + 1)
Since P lies on x-axis, therefore y coordinate = 0
(7 - 6k) / (k + 1) = 0
7 - 6k = 0
k = 7/6
Hence, the ratio is 1:7/6 = 6:7
Now, the coordinates of P are (-34/13, 0)
Now, coordinates of point of division P are
x coordinate = (-1 - 4k) / (k + 1)
y coordinate = (7 - 6k) / (k + 1)
Since P lies on x-axis, therefore y coordinate = 0
(7 - 6k) / (k + 1) = 0
7 - 6k = 0
k = 7/6
Hence, the ratio is 1:7/6 = 6:7
Now, the coordinates of P are (-34/13, 0)
Answered by
4
Let x-axis divides the line segment joining (– 4, – 6) and (– 1, 7) at the point P in the ratio 1 : k.
Now, coordinates of point of division P are
Since P lies on x-axis
7 - 6k = 0
Hence the ratio is,
1 : = 6 : 7
Now, the coordinates of P are ()
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