If `z=x +i y` such that `|z+1|=|z-1|`and `arg((z-1)/(z+1))=pi/4` , then find `zdot`

If |z_1-z_0|=|z_2-z_0|=a and amp((z_2-z_0)/(z_0-z_1))=pi/2 , then find z_0

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then

|z_(1)|=|z_(2)|" and "arg z_(1)+argz_(2)=0 then

If |z| = 4 and arg(z) = (5pi)/6 , then z = …………..

If z = x + iy and arg ((z-1)/(z+1))=pi/2 , show that x^(2)+y^(2)-1=0 .

If z and omega are two non-zero complex numbers such that |z omega|=1" and "arg(z)-arg(omega)=(pi)/(2) , then bar(z)omega is equal to

If z_(1)" and "z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_1|+|z_(2)| , then arg ((z_1)/(z_2)) is equal to