If  [ ] denotes the greatest integer less than or equal to the real number under consideration and −1≤x<0,0≤y<1, 1≤z<2 then the value of the determinant [x]+1[y][z][x][y]+1[z][x][y][z]+1, is 

If  [ ] denotes the greatest integer less than or equal to the real number under consideration and 1x<0,0y<11z<2 then the value of the determinant [x]+1[y][z][x][y]+1[z][x][y][z]+1, is 

  1. A

    [z]

  2. B

    [y]

  3. C

    [x]

  4. D

    none of these

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    Solution:

    We have, [x] = -1, [y] = 0 and [z] = 1

     [x]+1[y][z][x][y]+1[z][x][y][z]+1=001111102=1=[z] 

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