If `Z_(1)=-1,Z_(2)=-i` then find `Arg(Z_(1).Z_(2))`

If z_(1)andz_(2) both satisfy z+ddot z=2|z-1| and arg(z_(1)-z_(2))=(pi)/(4), then find Im(z_(1)+z_(2))

If z_(1), and z_(2) are the two complex numbers such that|z_(1)|=|z_(2)|+|z_(1)-z_(2)| then find arg(z_(1))-arg(z_(2))

If z_(1)=1+i,z_(2)=sqrt(3)+i then arg((z_(1))/(z_(2)))^(50) is

If z_(1)=2-i,z_(2)=1+i, find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

If ,z_(1)=,2-i,z_(2)=1+i find ,,|(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

Let z_(1)=2-i,z_(2)=-2+i find (a)Re((z_(1)z_(2))/(z_(1)))

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

Let z_(1) and z_(2) be two complex numbers such that bar(z)_(1)+bar(iz)_(2)=0 and arg(z_(1)z_(2))=pi then find arg(z_(1))

if z_(1)=2-i, and z_(2) = 1+ i, then find Im(1/(z_(1)z_(2)))

if z_(1) =-1 + 3i and z_(2)= 2 + i then find 2(z_(1) +z_(2))