1.

If \[\alpha ,\beta ,\gamma \] and a, b, c are complex numbers such that \[\frac{\alpha }{a}+\frac{\beta }{b}+\frac{\gamma }{c}=1+i\] and \[\frac{a}{\alpha }+\frac{b}{\beta }+\frac{c}{\gamma }=0,\] then the value of \[\frac{{{\alpha }^{2}}}{{{a}^{2}}}+\frac{{{\beta }^{2}}}{{{b}^{2}}}+\frac{{{\gamma }^{2}}}{{{c}^{2}}}\] is equal to

A. \[0\]                 
B. \[-1\]   
C. \[2i\]   
D. \[-2i\]
Answer» D. \[-2i\]


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