If x≠0, y≠0, z≠0 and 1+x111+y1+2y11+z1+z1+3z=0, then x−1+y−1+z−1 is equal to
-1
-2
-3
none of these
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+1z
Hence, the given equation gives x−1+y−1+z−1=−3.