Answer :

Given


Substituting z = x + iy, we get



|x – 2 + iy| = 2 |x – 3 + iy|



x2 – 4x + 4 + y2 = 4 (x2 – 6x + 9 + y2)


3x2 + 3y2 – 20x + 32 = 0





Hence, centre of circle is (10/3, 0) and radius is 2/3.


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