Abscissa of all points on the x-axis isa)-1b)0c)any numberd)1Correct a...
Understanding the X-Axis
The x-axis is a fundamental concept in coordinate geometry, serving as a horizontal line in a two-dimensional plane.
Definition of Abscissa
- The abscissa refers to the x-coordinate of a point in a Cartesian coordinate system.
- It indicates the horizontal position of a point.
Points on the X-Axis
- Any point on the x-axis has a y-coordinate of 0.
- Therefore, the coordinates of points on the x-axis can be expressed as (x, 0), where 'x' can be any real number.
Why the Correct Answer is C: Any Number
- Since the abscissa is defined as the x-coordinate, any point on the x-axis can have any value for 'x'.
- For example:
- The point (3, 0) has an abscissa of 3.
- The point (-5, 0) has an abscissa of -5.
- The point (0, 0) has an abscissa of 0.
- This flexibility means that the abscissa of points on the x-axis is not restricted to specific numbers like -1, 0, or 1.
Conclusion
In conclusion, the abscissa of all points on the x-axis is indeed "any number," confirming that option 'C' is correct. Understanding this concept is essential for further studies in mathematics and coordinate geometry.
Abscissa of all points on the x-axis isa)-1b)0c)any numberd)1Correct a...
The abscissa of a point refers to its x-coordinate in the Cartesian coordinate system.
- On the x-axis, the y-coordinate (ordinate) is always 0, while the x-coordinate (abscissa) can be any real number.
- This means that any point on the x-axis is of the form (x, 0), where x can be any number.
Thus, the correct answer is:
c) any number.