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Which of the following statements is correct?
- a)The coordinates of the origin are (0,1).
- b)The point (5,0) lies on the Y-axis.
- c)The point (0,7) lies on the Y-axis.
- d)The point (3,2) lies on the X-axis.
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is correct?a)The coordinates of the ...
The correct statement is option 'C': The point (0,7) lies on the Y-axis.
Explanation:
To understand why this statement is correct, let's first review what the X-axis and Y-axis represent in a Cartesian coordinate system.
- The X-axis is the horizontal line that runs left to right, with positive values to the right of the origin (0) and negative values to the left.
- The Y-axis is the vertical line that runs bottom to top, with positive values above the origin (0) and negative values below.
Now, let's analyze each statement to determine their accuracy.
a) The coordinates of the origin are (0,1).
This statement is incorrect. The origin (0,0) represents the point where the X-axis and Y-axis intersect. The Y-coordinate of the origin is 0, not 1.
b) The point (5,0) lies on the Y-axis.
This statement is incorrect. The point (5,0) has a Y-coordinate of 0, which means it lies on the X-axis, not the Y-axis.
c) The point (0,7) lies on the Y-axis.
This statement is correct. The point (0,7) has an X-coordinate of 0, which means it lies on the Y-axis. The Y-coordinate is 7, indicating that it is 7 units above the origin.
d) The point (3,2) lies on the X-axis.
This statement is incorrect. The point (3,2) has a Y-coordinate of 2, which means it does not lie on the X-axis. It lies above the X-axis, 2 units up.
In summary, the correct statement is option 'C': The point (0,7) lies on the Y-axis because its X-coordinate is 0.
Explanation:
To understand why this statement is correct, let's first review what the X-axis and Y-axis represent in a Cartesian coordinate system.
- The X-axis is the horizontal line that runs left to right, with positive values to the right of the origin (0) and negative values to the left.
- The Y-axis is the vertical line that runs bottom to top, with positive values above the origin (0) and negative values below.
Now, let's analyze each statement to determine their accuracy.
a) The coordinates of the origin are (0,1).
This statement is incorrect. The origin (0,0) represents the point where the X-axis and Y-axis intersect. The Y-coordinate of the origin is 0, not 1.
b) The point (5,0) lies on the Y-axis.
This statement is incorrect. The point (5,0) has a Y-coordinate of 0, which means it lies on the X-axis, not the Y-axis.
c) The point (0,7) lies on the Y-axis.
This statement is correct. The point (0,7) has an X-coordinate of 0, which means it lies on the Y-axis. The Y-coordinate is 7, indicating that it is 7 units above the origin.
d) The point (3,2) lies on the X-axis.
This statement is incorrect. The point (3,2) has a Y-coordinate of 2, which means it does not lie on the X-axis. It lies above the X-axis, 2 units up.
In summary, the correct statement is option 'C': The point (0,7) lies on the Y-axis because its X-coordinate is 0.
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Which of the following statements is correct?a)The coordinates of the origin are(0,1).b)The point(5,0)lies on the Y-axis.c)The point(0,7)lies on the Y-axis.d)The point(3,2)lies on the X-axis.Correct answer is option 'C'. Can you explain this answer?
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