1. The problem statement, all variables and given/known data
a complex no. z is represented by the point T in an Argand diagram.
[tex]z=\frac{1}{3+it}[/tex]
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
[tex]z=\frac{3it}{p+t^2}[/tex]
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 [itex]x^2+y^2+2fx+2gy+c=0[/itex] ?
