The points R and S lie on a circle with centre C(a, 2), as shown in the

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The points R and S lie on a circle with centre C(a, −2), as shown in the diagram. The point R has coordinates (2, 3) and the point S has coordinates (10, 1). M is the midpoint of the line segment RS. The line l passes through M and C.


a. Find an equation for l.


b. Find the value of a.


c. Find the equation of the circle.


d. Find the points of intersection, A and B, of the line l and the circle.


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