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Mathematics
Mathematics
Problem
The point
(
[
λ
+
1
]
,
[
λ
]
)
([\lambda + 1], [\lambda])
([
λ
+
1
]
,
[
λ
])
is lying inside 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
. Then, the set of all values of
λ
\lambda
λ
is (where
[
⋅
]
[\cdot]
[
⋅
]
represents the greatest integer function) a.
[
−
2
,
3
]
[-2, 3]
[
−
2
,
3
]
b.
(
−
2
,
3
)
(-2, 3)
(
−
2
,
3
)
c.
[
−
2
,
0
)
∪
(
0
,
3
)
[-2, 0) \cup (0, 3)
[
−
2
,
0
)
∪
(
0
,
3
)
d.
[
0
,
3
)
[0, 3)
[
0
,
3
)
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