The points P and Q with coordinates (3, 1) and (5, 3) lie on the circle C

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The points P and Q with coordinates (3, 1) and (5, −3) lie on the circle C with equation x2 − 4x + y2 + 4y = 2.
a. Find the equation of the perpendicular bisector of the line segment PQ.
b. Show that the perpendicular bisector of PQ passes through the centre of the circle C.

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