Answer :
Let's analyze the given point (0, 0) on an xy-plane.
1. Understanding Coordinates: The xy-plane is a two-dimensional coordinate system where each point is identified by an ordered pair of numbers (x, y).
2. Identifying the Point: In this case, the coordinates are (0, 0).
3. Interpretation:
- The x-coordinate is 0, which means the point is positioned exactly on the y-axis.
- The y-coordinate is 0, which means the point is positioned exactly on the x-axis.
4. Special Case: When both coordinates are zero, the point is located at the intersection of the x-axis and the y-axis. This intersection is known as the origin.
5. Quadrants:
- The xy-plane is divided into four quadrants:
- Quadrant I: Both x and y are positive.
- Quadrant II: x is negative, y is positive.
- Quadrant III: Both x and y are negative.
- Quadrant IV: x is positive, y is negative.
- Since the point (0, 0) does not lie in any of the regions where x and y are both nonzero, it does not belong to any quadrant.
6. Conclusion: Given the point (0, 0), it is located at the origin rather than in any of the four quadrants.
Therefore, the correct answer is:
A. at the origin
1. Understanding Coordinates: The xy-plane is a two-dimensional coordinate system where each point is identified by an ordered pair of numbers (x, y).
2. Identifying the Point: In this case, the coordinates are (0, 0).
3. Interpretation:
- The x-coordinate is 0, which means the point is positioned exactly on the y-axis.
- The y-coordinate is 0, which means the point is positioned exactly on the x-axis.
4. Special Case: When both coordinates are zero, the point is located at the intersection of the x-axis and the y-axis. This intersection is known as the origin.
5. Quadrants:
- The xy-plane is divided into four quadrants:
- Quadrant I: Both x and y are positive.
- Quadrant II: x is negative, y is positive.
- Quadrant III: Both x and y are negative.
- Quadrant IV: x is positive, y is negative.
- Since the point (0, 0) does not lie in any of the regions where x and y are both nonzero, it does not belong to any quadrant.
6. Conclusion: Given the point (0, 0), it is located at the origin rather than in any of the four quadrants.
Therefore, the correct answer is:
A. at the origin
