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Mathematics
Problem
If
[
⋅
]
[ \cdot ]
[
⋅
]
denotes the greatest integer less than or equal to the real number under consideration and
−
1
≤
x
<
0
,
0
<
y
<
1
,
1
≤
z
<
2
-1 \le x < 0, 0 < y < 1, 1 \le z < 2
−
1
≤
x
<
0
,
0
<
y
<
1
,
1
≤
z
<
2
, the value of the determinant
∣
[
x
]
+
1
[
y
]
[
z
]
[
x
]
[
y
]
+
1
[
z
]
[
x
]
[
y
]
[
z
]
+
1
∣
\begin{vmatrix} [x]+1 & [y] & [z] \\ [x] & [y]+1 & [z] \\ [x] & [y] & [z]+1 \end{vmatrix}
[
x
]
+
1
[
x
]
[
x
]
[
y
]
[
y
]
+
1
[
y
]
[
z
]
[
z
]
[
z
]
+
1
is a.
[
x
]
[x]
[
x
]
b.
[
y
]
[y]
[
y
]
c.
[
z
]
[z]
[
z
]
d. None of these
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