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Suppose M is the Midpoint of segment AB, P is the midpoint of segment AM, and...

Suppose M is the Midpoint of segment AB, P is the midpoint of segment AM, and Q is the midpoint of segment PM. If a and b are the coordinates of points A and B on a number line, find the coordinates of P and Q in the terms of a and b.

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This question belongs to the coordinate geometry.

In this a figure is required so the detailed solution is given below.

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