If `0le[x]lt2,-1le[y]lt1and1le[z]lt3`, where `[*]` denotes the greatest integer function, then the maximum value of the determinant `|{:([x]+1,,[y],,[
If `0le[x]lt2,-1le[y]lt1and1le[z]lt3`, where `[*]` denotes the greatest integer function, then the maximum value of the determinant
`|{:([x]+1,,[y],,[z]),([x],,[y]+1,,[z]),([x],,[y],,[z]+1):}|` is -
A. 2
B. 4
C. 6
D. 8
4 views
1 Answers
Correct Answer - B
`0le[x]lt2rArr[x]=0,1`
`-1le[y]lt1rArr[y]=-1,0`
and `1le[z]lt3rArr[z]=1,2`
Now, `R_(2)toR_(2)-R_(1),R_(3)toR_(3)-R_(1)," then"`
`|{:([x]+1,,[y],,[z]),(-1,,1,,0),(-1,,0,,1):}|=[x]+[y]+[z]+1`
= 1+0+2+1=4
(`because` for maximum value, [x]= 1, [y]= 0, [z] = 2)
4 views
Answered