Does point Q(y, x) ever coincide with point P (x, y)? Justify your answer. [Page No. 7]

No, not always. The points P(x, y) and Q(y, x) are the same only when x = y. Otherwise, they represent different points because the order of coordinates matters.

For example, if x = 2 and y = 5, then P = (2, 5) and Q = (5, 2), which are different points. But if x = y = 3, then P = (3, 3) and Q = (3, 3) are the same point. Therefore, P(x, y) = Q(y, x) only when x = y.