Question: Consider a function f(z) of degree two, having real coefficients. If z1 and z2 satisfying f(z1)=f(z2)=0 are such that Re z1=Re z2=0 and if z3 satisfies f(f(z3))=0, then select the correct statement.

Options

A : Re z3=0

B : Im z3=0

C : Re z3×Imz3?0

D : Re z3=0 and Im z3=0

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