Question

If z1=2+3i and z2+-1+3i then find im|z1z2/z1|

Answer 1

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$z1 = 2 + 3i \\ |z1| = \sqrt{ {4}^{2} + {3}^{2} } = \sqrt{13} \\ z2 = - 1 + 3i \\ |z2| = \sqrt{ { - 1}^{2} + {3}^{2} } = \sqrt{10} \\ \frac{ |z1| |z2| }{ |z1| } = \frac{ \sqrt{13 } \sqrt{10} }{ \sqrt{13} } \\ = \sqrt{10}$

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