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Mathematics
Problem
The point
(
[
P
+
1
]
,
[
P
]
)
([P+1], [P])
([
P
+
1
]
,
[
P
])
, (where
[
.
]
[. ]
[
.
]
denotes the greatest integer function) lying inside the region bounded by the circle
x
2
+
y
2
−
2
x
−
15
=
0
x^2 + y^2 - 2x - 15 = 0
x
2
+
y
2
−
2
x
−
15
=
0
and
x
2
+
y
2
−
2
x
−
7
=
0
x^2 + y^2 - 2x - 7 = 0
x
2
+
y
2
−
2
x
−
7
=
0
, then a.
P
∈
[
−
1
,
0
)
∪
[
0
,
1
)
∪
[
1
,
2
)
P \in [-1, 0) \cup [0, 1) \cup [1, 2)
P
∈
[
−
1
,
0
)
∪
[
0
,
1
)
∪
[
1
,
2
)
b.
P
∈
[
−
1
,
2
)
−
{
0
,
1
}
P \in [-1, 2) - \{0, 1\}
P
∈
[
−
1
,
2
)
−
{
0
,
1
}
c.
P
∈
(
−
1
,
2
)
P \in (-1, 2)
P
∈
(
−
1
,
2
)
d. None of these
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