The points A and B lie on a circle with centre C, as shown in the diagram.

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The points A and B lie on a circle with centre C, as shown in the diagram.


The point A has coordinates (3, 7) and the point B has coordinates (5, 1). M is the midpoint of the line segment AB.


The line l passes through the points M and C.


a. Find an equation for l. Given that the x-coordinate of C is −2:


b. find an equation of the circle.


c. find the area of the triangle ABC.


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