Class 9 Exam > Class 9 Questions > The point (–2, 0) lies on :a)+ve x-axis...
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The point (–2, 0) lies on :
- a)+ve x-axis
- b)+ve y-axis
- c)–ve x-axis
- d)–ve y-axis
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The point (–2, 0) lies on :a)+ve x-axisb)+ve y-axisc)–ve x...
Explanation:
The point (–2, 0) lies on the –ve x-axis because of the following reasons:
Coordinate Plane:
- The coordinate plane consists of two perpendicular lines, the x-axis and y-axis, intersecting at the origin (0,0).
- The x-axis is the horizontal line where y=0, and the y-axis is the vertical line where x=0.
Understanding Coordinates:
- In the Cartesian coordinate system, points are represented as (x, y) where x is the horizontal distance from the y-axis (positive to the right, negative to the left) and y is the vertical distance from the x-axis (positive upwards, negative downwards).
Point Coordinates:
- The given point (–2, 0) has an x-coordinate of –2 and a y-coordinate of 0.
- This means the point is 2 units to the left of the y-axis (negative x-direction) and lies on the x-axis where y=0.
Conclusion:
- As the point lies on the x-axis at a negative x-coordinate of –2, it is located on the –ve x-axis.
- Therefore, the correct option is –ve x-axis (option C).
The point (–2, 0) lies on the –ve x-axis because of the following reasons:
Coordinate Plane:
- The coordinate plane consists of two perpendicular lines, the x-axis and y-axis, intersecting at the origin (0,0).
- The x-axis is the horizontal line where y=0, and the y-axis is the vertical line where x=0.
Understanding Coordinates:
- In the Cartesian coordinate system, points are represented as (x, y) where x is the horizontal distance from the y-axis (positive to the right, negative to the left) and y is the vertical distance from the x-axis (positive upwards, negative downwards).
Point Coordinates:
- The given point (–2, 0) has an x-coordinate of –2 and a y-coordinate of 0.
- This means the point is 2 units to the left of the y-axis (negative x-direction) and lies on the x-axis where y=0.
Conclusion:
- As the point lies on the x-axis at a negative x-coordinate of –2, it is located on the –ve x-axis.
- Therefore, the correct option is –ve x-axis (option C).
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Community Answer
The point (–2, 0) lies on :a)+ve x-axisb)+ve y-axisc)–ve x...
The point (−2, 0) lies on the negative x-axis because the x coordinate is negative and the y coordinate is zero, indicating a location along the x-axis to the left of the origin.
The correct answer is: C: –ve x-axis
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The point (–2, 0) lies on :a)+ve x-axisb)+ve y-axisc)–ve x-axisd)–ve y-axisCorrect answer is option 'C'. Can you explain this answer?
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