Yes, the points coincide only when the x-coordinate is equal to the y-coordinate. For example, if x = 5 and y = 5, both points P and Q become (5, 5).
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The points P (x, y) and Q (y, x) represent the same location only if the values of x and y are identical. In coordinate geometry, the order of numbers is usually critical. However, if x equals y, swapping their positions does not change the point. For instance, if x = 2 and y = 2, then both P and Q are at (2, 2). If x and y are different, the points will be different.
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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/