complex (1 Viewer)

ChasingMedForLife · Nov 5, 2016

13. Show that (z − 2) ((z − 2))conjucate = 9 represents a circle in the Argand diagram.

si2136 · Nov 5, 2016

Let z = x + iy.

Expand it and therefore you'll end up with a locus of a circle.

InteGrand · Nov 5, 2016

ChasingMedForLife said:
13. Show that (z − 2) (z − 2) = 9 represents a circle in the Argand diagram.

$\noindent Assuming you mean $\left(z-2\right)\overline{(z-2)} = 9$, this is equivalent to $|z-2| ^2 = 9 \iff |z-2| = 3$, so this is a circle of radius $3$ centred at $2$ in the complex plane.$

ChasingMedForLife · Nov 5, 2016

update mis wrote question

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