The points A and B with coordinates (1, 9) and (7, 5) lie on the circle C

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The points A and B with coordinates (−1, −9) and (7, −5) lie on the circle C with equation (x − 1)2 + (y + 3)2 = 40.

a. Find the equation of the perpendicular bisector of the line segment AB.

b. Show that the perpendicular of bisector AB passes through the centre of the circle C.

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