The circle C has equation x 2 + 18x + y 2 2y + 29 =

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The circle C has equation x2 + 18x + y2 − 2y + 29 = 0.


a. Verify the point P(−7, −6) lies on C.


b. Find an equation for the tangent to C at the point P, giving your answer in the form y = mx + b.


c. Find the coordinates of R, the point of intersection of the tangent and the y-axis.


d. Find the area of the triangle APR.


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