The points A(1, 2) and B(5, 4) lie on a circle with centre C(6, p). a. Find

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The points A(1, −2) and B(5, 4) lie on a circle with centre C(6, p).

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

b. Use your answer to part a to find the value of p.

c. Find the equation of the circle.

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