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Find the ratio in which the line segment...

Find the ratio in which the line segment joining `A(1,\ -5)` and `B(-4,\ 5)` is divided by the x-axis. Also find the coordinates of the point of division.

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To find the ratio in which the line segment joining points A(1, -5) and B(-4, 5) is divided by the x-axis, and also to find the coordinates of the point of division, we can follow these steps: ### Step 1: Understand the Problem We need to find the point where the line segment AB intersects the x-axis. The coordinates of any point on the x-axis are of the form (x, 0). ### Step 2: Set Up the Ratio Let the ratio in which the x-axis divides the line segment AB be k:1. This means that the point of intersection (let's call it O) divides the segment in the ratio k:1. ...
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