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.

• A. Re z3=0
• B. Im z3=0
• C. Re z3×Imz3≠0
• D. Re z3=0 and Im z3=0