question_answer

If the system of equations x + ay + az = 0, bx + y + bz = 0 and ex + cy + z = 0 where a, b, c are non-zero non unity, has a non-trivial solution, then the value of \[\frac{a}{1-a}+\frac{b}{1-b}+\frac{c}{1-c}\]

A)  \[-1\]   

B)  \[0\]

C)  \[1\]                            

D)  \[\frac{abc}{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}\].