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 HW Helper P: 6,208 1. The problem statement, all variables and given/known data a complex no. z is represented by the point T in an Argand diagram. $$z=\frac{1}{3+it}$$ where t is a variable show that z+z*=6ZZ* and that as t varies,T lies on a circle, and state its centre 2. Relevant equations 3. The attempt at a solution Did the first part easily. Need help with the 2nd part with the circle so far I multiplied z by z*/z* to get $$z=\frac{3-it}{p+t^2}$$ Do I now say that let z=x+iy and then find |z| and the modulus of the otherside (with t) and put that in the form $x^2+y^2+2fx+2gy+c=0$ ?