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Problem
Problem
Let
f
:
[
−
10
,
10
]
→
R
f: [-10, 10] \rightarrow R
f
:
[
−
10
,
10
]
→
R
, where
f
(
x
)
=
sin
x
+
[
x
2
/
a
]
f(x) = \sin x + [x^2/a]
f
(
x
)
=
sin
x
+
[
x
2
/
a
]
and
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function be an odd function. Then set of values of parameter 'a' is/are (a)
(
−
10
,
10
)
−
{
0
}
(-10, 10) - \{0\}
(
−
10
,
10
)
−
{
0
}
(b)
(
0
,
10
)
(0, 10)
(
0
,
10
)
(c)
[
100
,
∞
)
[100, \infty)
[
100
,
∞
)
(d)
(
100
,
∞
)
(100, \infty)
(
100
,
∞
)
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