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.

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# Homework Help: Show that this locus determines a circle in C

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