If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) = ${\pi \over 6}$, then Im(z1 + z2 ) is equal to :

Question

If z₁ , z₂ are complex numbers such that
Re(z₁) = |z₁ – 1|, Re(z₂) = |z₂ – 1| , and
arg(z₁ - z₂) = ${\pi \over 6}$, then Im(z₁ + z₂ ) is equal to :

${{\sqrt 3 } \over 2}$

${1 \over {\sqrt 3 }}$

${2 \over {\sqrt 3 }}$

${2\sqrt 3 }$

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