Consider the circle C1 given by the equation .
(a) (4 marks) : Find the radius r and center M of C1 and determine the points A and B of intersection of C1 with the y-axis.



(b)(4 marks):Find the point D of intersection of the tangent lines to the circle at A
and B.

(c) (4 marks): Find the equation of the circle C2 with MD as a diameter.





(d) (3 marks): Obtain the parametric equations of the circle C1 .



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