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Given two points P and Q, and that (1) the image of P on reflection in the y-axis is the point Q and (2) the midpoint of PQ is invariant on reflection in x-axis. Locate: (iii) the origin.

According to the question:, Q is the image of P on reflection in y-axis and mid-point of PQ is invariant on reflection in x-axis

(iii) The origin will be the mid-point of line segment PQ.