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Q.

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

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a

[x]

b

[z]

c

none of these

d

[y]

answer is C.

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Detailed Solution

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1x<0    [x]=10y<1    [y]=01z<2    [z]=1

Hence, the given determinant is

        001111102=1=[z]

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