In what ratio does the x axis divides the line segment joining the points (-4,-6) and (-1,7) ? Find the coordinates of the point of division.
In what ratio does the x axis divides the line segment joining the points (-4,-6) and (-1,7) ? Find the coordinates of the point of division.
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Answer:
Step-by-step explanation:
p=(x,0)
let the ratio be k:1
by using section formula
we get the ratio 6:7
p=(-22,0)
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)