(D) Given that ${z_1} = 1 - i$ and ${z_2} = - 2 + 4i$.We need to find $\text{Im} \left( \frac{z_1 z_2}{z_1} \right)$.Since ${z_1} \neq 0$,we can simpl

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(D) Given that ${z_1} = 1 - i$ and ${z_2} = - 2 + 4i$.We need to find $\text{Im} \left( \frac{z_1 z_2}{z_1} \right)$.Since ${z_1} \neq 0$,we can simplify the expression by canceling ${z_1}$:$\frac{z_1 z_2}{z_1} = z_2 = - 2 + 4i$.The imaginary part of a complex number $z = a + bi$ is $b$.Therefore,$\text{Im}(- 2 + 4i) = 4$.