Find the ratio in which y-axis divides the line segment joining the points: A(5,-6)and B(- 1, - 4). Also find the coordinates of the point of division.
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Find the ratio in which y-axis divides the line segment joining the points: A(5,-6)and B(- 1, - 4). Also find the coordinates of the point of division.
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Given points are A(5,-6) and B(-1,-4).
Here (x1,y1) = (5,-6), (x2,y2) = (-1,-4), (m,n) = (k,1)
Let the y-axis divides the line segment in the ratio k:1 and point of intersection be (0,y).
We know that coordinates of points dividing the line segment joining (x,1,y1) and (x2,y2) in the ratio m:n is
⇒ [(mx2 + nx1)/(m + n), (my2 + ny1)/(m + n)]
Given that the point lies on y-axis.So, its x-coordinate is 0.
Hence, the required ratio is 5:1.
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Now,
Substitute k = 5, we get the coordinates.
Therefore, the coordinates of the point of division is (0, -13/3).
Hope this helps!