question_answer

If \[pqr\ne 0\] and the system of equations

\[(p+a)\,\,x+by+cz=0\]

\[ax+(q+b)\,\,y+cz=0\]

\[ax+by+(r+c)\,\,z=0\]

has a non-trivial solution, then the value of \[\frac{a}{p}+\frac{b}{q}+\frac{c}{r}\]  is equal to _______.

A)  0                                

B)  \[-1\]

C)  1                                

D)  2

E)  None of these