Complex-city

Algebra Level 3

Z1Z2Z1+Z2\large \left| \frac { { Z }_{ 1 }-{ Z }_{ 2 } }{ { Z }_{ 1 }+{ Z }_{ 2 } } \right|

If Z1,Z2{ Z }_{ 1 },{ Z }_{ 2 } are complex numbers such that 2Z13Z2\frac { { 2Z }_{ 1 } }{ { 3Z }_{ 2 } } is purely imaginary then what is the value of above expression?

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