If `z_1a n dz_2` both satisfy `z+barz =2|z-1| and a r g(z_1-z_2)=pi/4` , then find ` I m(z_1+z_2)` .

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find z_(1)+z_(2) .

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

If z_(1)=8+4 i, z_(2)=6+4 i and arg ((z-z_(1))/(z-z_(2)))=(pi)/(4) then z satisfies

For all complex numbers z_(1), z_(2) satisfying |z_(1)|=12 and |z_(2)-3-4 i|=5 , the minimum value of |z_(1)-z_(2)| is

If |z_(1)-1|lt2,|z_(2)-2|lt1 , then |z_(1)+z_(2)|

If |(z-2)/(z+2)|=(pi)/(6) , then the locus of z is

If z_(1), z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0 and Im(z_(1) z_(2))=0 , then

If z_(1) and z_(2) are complex number and (z_(1))/(z_(2)) is purely imaginary then |((z1+z2)/(z1-z2))|=

If z_(1)=sqrt(3)-i, z_(2)=1+i sqrt(3) , then amp (z_(1)+z_(2))=

If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(pi/4) , then