Define-the-inversion-transformation-of-Z-a-ib-where-i-is-imaginary-line-passing-through-the-circle-of-inversion-

Question Number 75580 by lalitchand last updated on 13/Dec/19

Define the inversion transformation

of Z = a + ib where i is imaginary line

passing through the circle of inversion .

Commented by MJS last updated on 13/Dec/19

{it}^{'} s not clear . i is an imaginary line ?

I guess you mean the inversion at the circle

of unity ?

in this case

Z^{*} = \frac{a}{a^{2} + b^{2}} + \frac{b}{a^{2} + b^{2}} i

or if Z = r e^{i θ} \Rightarrow Z^{*} = \frac{1}{r} e^{i θ}

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