If the distinct non-zero numbers x(y−z),y(z−x),z(x−y) form a geometric progression with common ratio r, then r satisfies the equation<spanclass=′latex−bold′>(A)</span>r2+r+1=0<spanclass=′latex−bold′>(B)</span>r2−r+1=0<spanclass=′latex−bold′>(C)</span>r4+r2−1=0<spanclass=′latex−bold′>(D)</span>(r+1)4+r=0<spanclass=′latex−bold′>(E)</span>(r−1)4+r=0