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Jun5-08, 10:31 PM
HW Helper
P: 6,206
1. The problem statement, all variables and given/known data
a complex no. z is represented by the point T in an Argand diagram.


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


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] ?
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