a)
[tex]\it Re(z_1)=2,\ \ Im(z_1)=4[/tex]
[tex]\it Re(z_2)=3,\ \ Im(z_2)=-4[/tex]
[tex]\it Re(z_3)=7,\ \ Im(z_3)=0[/tex]
[tex]\it Re(z_4)=0,\ \ Im(z_4)=2[/tex]
[tex]\it Re(z_5)=3,\ \ Im(z_5)=-2[/tex]
[tex]\it Re(z_6)=-1,\ \ Im(z_6)=1[/tex]
b)
[tex]\it \overline{z_1} =2-4i[/tex]
[tex]\it \overline{z_2} =3+4i[/tex]
[tex]\it \overline{z_3} =7[/tex]
[tex]\it \overline{z_4} =-2i[/tex]
[tex]\it \overline{z_5} =3+2i[/tex]
[tex]\it \overline{z_6} =-1-i[/tex]
c)
[tex]\it |z_1| = \sqrt{2^2+4^2} =\sqrt{20} =\sqrt{4\cdot5}=2\sqrt5[/tex]
[tex]\it |z_2| = \sqrt{3^2+4^2} =\sqrt{25} =5[/tex]
[tex]\it |z_3| =|7| =7[/tex]
[tex]\it |z_4| =\sqrt{2^2} =2[/tex]
