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A point lies on X-axis at a distance 5 u...

A point lies on X-axis at a distance 5 units from Y-axis. What are its coordinates ?

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To find the coordinates of a point that lies on the X-axis at a distance of 5 units from the Y-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Position of the Point**: - The point lies on the X-axis. This means that its Y-coordinate will be 0, as all points on the X-axis have a Y-coordinate of 0. 2. **Determine the Distance from the Y-axis**: - The distance from the Y-axis is given as 5 units. This distance can be in both the positive and negative directions along the X-axis. 3. **Identify Possible X-coordinates**: - Since the point can be 5 units away from the Y-axis, the possible X-coordinates are: - 5 units to the right of the Y-axis, which gives us the coordinate (5, 0). - 5 units to the left of the Y-axis, which gives us the coordinate (-5, 0). 4. **Write the Coordinates**: - Therefore, the coordinates of the point can be either (5, 0) or (-5, 0). ### Final Answer: The coordinates of the point are (5, 0) and (-5, 0). ---
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