If x,y,z are not equal to zero and 1+x111+y1+2y11+z1+z1+3z=0, then 1x+1y+1z=
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a
-1
b
-2
c
-3
d
none of these
answer is C.
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Detailed Solution
1+x111+y1+2y11+z1+z3+3z =xyz1+1x1x1x1+1y2+1y1y1+1z1+1z3+1z=xyz3+1x+1y+1z1111+1y2+1y1y1+1z1+1z3+1z=xyz3+1x+1y+1z1001+1y1−11+1z02=2xyz3+1x+1y+1zHence, the given equation gives x−1+y−1+z−1=−3.