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  • If z = x + iy, then show that zz ̅+2(z+z ̅ )+b=0 where bϵR, representing z in the complex plane is a circle.

Ifz = x + iy, then show that z\bar{z}+2(z+\bar{z})+b=0  where bϵR, representing z in the complex plane is a circle.

Answers (1)

z=x+iy

\bar{z}=x-iy

Now,we\: \: also\: \: have\: \: ,z\bar{z }+2(z+\bar{z})+b=0

(x+iy)(x-iy)+2(x+iy+x-iy)+b=0

This equation is a equation of circle

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infoexpert21

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