The circle C has centre P(11, 5) and passes through the point Q(5, 3). a. Find an

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The circle C has centre P(11, −5) and passes through the point Q(5, 3).


a. Find an equation for C. The line l1 is a tangent to C at the point Q.


b. Find an equation for l1. The line l2 is parallel to l1 and passes through the midpoint of PQ. Given that l2 intersects C at A and B


c. Find the coordinates of points A and B


d. Find the length of the line segment AB, leaving your answer in its simplest surd form.


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