Question

If [x] denotes the greatest integer ≤ x and -1≤ x<0, 0≤ y<1, 1≤ z<2, then the value of the determinant beginvmatrix [x]+1 & [y] & [z]
[x] & [y]+1 & [z]
[x] & [y] & [z]+1 endvmatrix is

• A. \([z]\)
• B. \([y]\)
• C. \([x]\)
• D. None of these

Hint:

Always convert greatest integer values first before determinant calculation.

Answer 1

The Correct Option is C

From given ranges: [x]=-1, [y]=0, [z]=1 Substituting and evaluating the determinant gives: -1