Let A(z(1)),B(z(2)),C(z(3)) be the verti...

Let `A(z_(1)),B(z_(2)),C(z_(3))` be the vertices of an equilateral triangle ABC in the Argand plane, then the number `(z_(2)-z_(3))/(2z_(1)-z_(2)-z_(3))`, is

purely real

purely imaginary

a complex number with non-zero and imaginary parts

none of these

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