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If $Z_{1}, Z_{2}$ are two complex numbers and $| Z_{1} | > | Z_{2} |$ also $| Z_{1} | = | Z_{2} | + | Z_{1} - Z_{2} |$ then

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$Im (\frac{Z_{1}}{Z_{2}}) = 1$

Im $(\frac{Z_{1}}{Z_{2}}) = 0$

$Re (\frac{Z_{1}}{Z_{2}}) = 0$

$Re (\frac{Z_{1}}{Z_{2}}) = Im (\frac{Z_{1}}{Z_{2}})$

answer is A.

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Detailed Solution

$| Z_{1} - Z_{2} | = | Z_{1} | - | Z_{2} |$

$\Rightarrow A r g Z_{1} = A r g Z_{2}$

$\Rightarrow A r g (\frac{Z_{1}}{Z_{2}}) = 0$

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