Yes, this claim is entirely true. In an ordered pair, the position of each number matters. The points are only the same if the values in both positions are exactly equal.
If x ≠ y, then (x, y) ≠ (y, x); and (x, y) = (y, x) if and only if x = y. Is this claim true?
Share
This claim is true and describes the fundamental property of “ordered pairs.” In the Cartesian plane, the first number always represents the horizontal position and the second represents the vertical position. Because the positions are specific, (3, 5) is a completely different location than (5, 3). The only time the location remains the same after swapping the numbers is when the x-value and y-value are the same, such as (4, 4).
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/