The points A and B have coordinates (5, 1) and (1, 7) respectively. C is the mid-point

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The points A and B have coordinates (5, −1) and (−1, 7) respectively. C is the mid-point of AB.

a) Find the coordinates of C.

b) Find the equation of the circle with AB as diameter.

c) Find the equation of the tangent to the
circle at A.

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