a and b represent two numbers on an Argand plane, i.e. fixed. Then it is given that locus of z given by the equation(adsbygoogle = window.adsbygoogle || []).push({});

|(z - a)/(z - b)| = k where k is not 1.

Now it is given that locos of z represents a circle. I cannot understand how can this equation represent a circle.

|z -a| k|z - b| - this maks me think geometrically impossible to represent a circle.

Can anyone help me here?

The question is to find centre and radius.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Show that this locus determines a circle in C

**Physics Forums | Science Articles, Homework Help, Discussion**