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The coordinates of a point A on y-axis, ...

The coordinates of a point A on y-axis, at a distance of 4 units from x-axis and below it, are

A

`(4,0)`

B

(0,4)

C

`(-4,0)`

D

`(0,-4)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the coordinates of point A on the y-axis, which is at a distance of 4 units from the x-axis and below it, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Position on the Y-axis**: - A point on the y-axis has coordinates of the form (0, y), where x-coordinate is always 0. 2. **Determine the Distance from the X-axis**: - The question states that the point is at a distance of 4 units from the x-axis. This means we need to consider the y-coordinate. 3. **Identify the Direction**: - The point is specified to be below the x-axis. Therefore, the y-coordinate will be negative. 4. **Calculate the Y-coordinate**: - Since the distance is 4 units below the x-axis, the y-coordinate will be -4. 5. **Write the Coordinates**: - Thus, the coordinates of point A are (0, -4). ### Final Answer: The coordinates of point A are (0, -4). ---
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