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Byju's Answer
Standard XII
Mathematics
Signum Function
If X ∈ R, t...
Question
If
X
∈
R
,
then sgn
(
X
2
+
1
)
is equal to
A
0
or
−
1
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B
0
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C
1
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D
−
1
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Solution
The correct option is
C
1
We know that
s
g
n
(
x
)
=
1
f
o
r
x
>
0
s
g
n
(
x
)
=
0
f
o
r
x
=
0
s
g
n
(
x
)
=
−
1
f
o
r
x
<
0
So,
s
g
n
(
x
)
=
x
|
x
|
s
i
m
i
l
a
r
l
y
,
s
g
n
(
x
2
+
1
)
=
(
x
2
+
1
)
|
x
2
+
1
|
if x is real then
x
2
+
1
>
0
therefore,
s
g
n
(
x
2
+
1
)
=
1
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0
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