Complex-city

Algebra Level 3

\[\large \left| \frac { { Z }_{ 1 }-{ Z }_{ 2 } }{ { Z }_{ 1 }+{ Z }_{ 2 } } \right| \]

If \({ Z }_{ 1 },{ Z }_{ 2 }\) are complex numbers such that \(\frac { { 2Z }_{ 1 } }{ { 3Z }_{ 2 } } \) is purely imaginary then what is the value of above expression?

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