Complex number|Find the locus of eqn if,arg(Z-1/Z+1)=π/3|Knowing Alternative method|K.Thirumurugan

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Show that the complex number z, satisfying the condition arg (z-1/z+1) = π/4 lies on a circle. Show that the complex number z, satisfying the condition arg (z-1/z+1) = π/4 lies on a circle.
complex numbers - locus argument questions complex numbers - locus argument questions
Complex Numbers Formulas -1 Complex Numbers Formulas -1
Find the locus of z if arg `((z-1)/(z+1))= pi/4` Find the locus of z if arg `((z-1)/(z+1))= pi/4`
The Euler Formula The Euler Formula
Q36- The locus of the points z satisfying the condition arg⁡((z-1)/(z+1))=π/3 is a .... Q36- The locus of the points z satisfying the condition arg⁡((z-1)/(z+1))=π/3 is a ....