Class 8 Exam > Class 8 Questions > The point (4,0) lies on which of the followin...
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The point (4,0) lies on which of the following?
- a)x-axis
- b)y-axis
- c)origin
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The point (4,0) lies on which of the following?a)x-axisb)y-axisc)origi...
Explanation:
To understand why the point (4,0) lies on the x-axis, we need to understand the Cartesian coordinate system.
Cartesian Coordinate System:
The Cartesian coordinate system is a grid system used to represent points in a plane. It consists of two perpendicular lines called the x-axis and y-axis. The point where these two axes intersect is called the origin.
X-Axis:
The x-axis is the horizontal line on the coordinate plane. It is the line where the y-coordinate is always zero. In other words, any point on the x-axis will have a y-coordinate of zero.
Y-Axis:
The y-axis is the vertical line on the coordinate plane. It is the line where the x-coordinate is always zero. In other words, any point on the y-axis will have an x-coordinate of zero.
Origin:
The origin is the point (0,0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the coordinate plane.
Point (4,0) on the Coordinate Plane:
Now, let's consider the point (4,0). This point has an x-coordinate of 4 and a y-coordinate of 0.
If we plot this point on the coordinate plane, we can see that it lies on the x-axis. The x-coordinate is positive (4), but the y-coordinate is zero. Therefore, the point (4,0) lies on the x-axis.
Conclusion:
In conclusion, the point (4,0) lies on the x-axis.
To understand why the point (4,0) lies on the x-axis, we need to understand the Cartesian coordinate system.
Cartesian Coordinate System:
The Cartesian coordinate system is a grid system used to represent points in a plane. It consists of two perpendicular lines called the x-axis and y-axis. The point where these two axes intersect is called the origin.
X-Axis:
The x-axis is the horizontal line on the coordinate plane. It is the line where the y-coordinate is always zero. In other words, any point on the x-axis will have a y-coordinate of zero.
Y-Axis:
The y-axis is the vertical line on the coordinate plane. It is the line where the x-coordinate is always zero. In other words, any point on the y-axis will have an x-coordinate of zero.
Origin:
The origin is the point (0,0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the coordinate plane.
Point (4,0) on the Coordinate Plane:
Now, let's consider the point (4,0). This point has an x-coordinate of 4 and a y-coordinate of 0.
If we plot this point on the coordinate plane, we can see that it lies on the x-axis. The x-coordinate is positive (4), but the y-coordinate is zero. Therefore, the point (4,0) lies on the x-axis.
Conclusion:
In conclusion, the point (4,0) lies on the x-axis.
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