1.

If \[[a]\] denotes the integral part of a and \[x={{a}_{3}}y+{{a}_{2}}z,\] \[y={{a}_{1}}z+{{a}_{3}}z\] and \[z={{a}_{2}}x+{{a}_{1}}y,\]where x, y, z are not all zero. If \[{{a}_{1}}=m-[m],\] m being a non-integral constant, then \[{{a}_{1}}{{a}_{2}}{{a}_{3}}\] is

A. \[>1\]
B. \[>-1\]
C. \[<1\]
D. \[<-1\]
Answer» C. \[<1\]


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