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If    0\leq [x]<2\:\:,\:-1\leq[y]<1\:,\:\:1\leq[z]< 3     ([.] is a greatest integer function) ,  then the maximum value of the determinant D =   \begin{vmatrix} [x]+1 & [y] & [z]\\ [x]&[y]+1 &[z] \\ [x] & [y] &[z]+1 \end{vmatrix}    is 

a.  6       b. 2      c. 8      d. 4

Answers (1)

@jeetu

by applyingR_1\rightarrow R_1-R_2\ and\ then\ R_2\rightarrow R_2-R_3\\ the\ determinant\ value\ is\[z]+1+[y]+[x]\\so\ maximum\ value=2+1+0+1=4

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Safeer PP

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