if z1=(1+i) and z2=(-2+4i) ;prove that im(z1z2/bar z1 =2
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Given : z1=(1+i) and z2=(-2+4i)
To Find : Show that Im (z1 z2) = 2
Solution:
z1=(1+i)
z2=(-2+4i)
z1 z2 =(1+i) (-2+4i)
= - 2 + 4i - 2i +4i²
i² = - 1
= -2 + 2i - 4
= -6 + 2i
Im (z1 z2) = 2
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