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Byju's Answer
Standard XII
Mathematics
Pre-Image
Range of a co...
Question
Range of a constant function is a singleton set.
A
True
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B
False
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Solution
The correct option is
A
True
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Similar questions
Q.
If the range of a function is a singleton set, then it is A
Q.
Consider
f
(
x
)
=
sin
−
1
(
sec
(
tan
−
1
x
)
)
+
cos
−
1
(
cosec
(
cot
−
1
x
)
)
Statement
−
1
:
Domain of
f
(
x
)
is a singleton set.
Reason
Statement
−
2
:
Range of the function
f
(
x
)
is a singleton set.
Q.
Assertion :Consider
f
(
x
)
=
s
i
n
−
1
(
s
e
c
(
t
a
n
−
1
x
)
+
c
o
s
−
1
(
c
o
s
e
c
(
c
o
t
−
1
x
)
Statement-1: Domain of f(x) is a singleton. Reason: Statement-2: Range of the function
f
(
x
)
is a singleton.
Q.
Assertion :Consider the function
f
(
x
)
=
(
x
+
1
C
2
x
−
8
)
(
2
x
−
8
C
x
+
1
)
Statement-1: Domain of
f
(
x
)
is singleton. Reason: Statement-2: Range of
f
(
x
)
is singleton.
Q.
Assertion :Domain of
f
(
x
)
is singleton. Reason: Range of
f
(
x
)
is singleton.
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