If z1, z2 are complex numbers such that Rez1=z1-2 , Rez2=z2-2 and argz1-z2=π3, then Imz1+z2=?

Question

z_{1}, z_{2}

are complex numbers such that

Re (z_{1}) = |z_{1} - 2|

Re (z_{2}) = |z_{2} - 2|

and

\arg (z_{1} - z_{2}) = \frac{π}{3},

then

Im (z_{1} + z_{2}) = ?

\sqrt{2}

\frac{4}{\sqrt{3}}

\frac{2}{\sqrt{3}}

\sqrt{3}

Please login to view the detailed solution steps...