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E M B I B E
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 31
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EASY
CAT
IMPORTANT
Earn 100
Which of the following pairs are identical :
(a)
f
(
x
)
=
x
2
,
g
(
x
)
=
(
x
)
2
(b)
f
(
x
)
=
1
x
2
,
g
(
x
)
=
x
x
2
(c)
f
(
x
)
=
\
log
(
x
-
1
)
+
log
(
x
-
2
)
,
g
(
x
)
=
log
(
x
-
1
)
(
x
-
2
)
(d)
none of the above
50% students
answered this correctly
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Important Questions on Functions and Graphs
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 32
If
f
(
x
)
=
1
|
x
|
-
x
and
g
(
x
)
=
1
x
-
|
x
|
, then
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 33
If
f
(
x
)
=
x
,
g
(
x
)
=
x
2
and
h
(
x
)
=
x
2
x
, then the set of values for which the given functions
f
(
x
)
,
g
(
x
)
and
h
(
x
)
are identical is :
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 35
If
f
(
x
)
=
Sgn
x
and
g
(
x
)
=
1
+
x
-
[
x
]
. Then for all
x
>
0
,
x
f
(
g
(
x
)
)
is equal to :
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 36
If 64xand
α
,
β
are the roots of
4
x
+
1
x
=
2
, then:
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 37
If
f
(
x
)
=
x
1
+
x
2
, then
f
(
f
(
f
(
x
)
)
)
is :
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 38
If
f
(
x
)
=
4
x
4
x
+
2
, then the value of
f
(
x
)
+
f
(
1
-
x
)
is :
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 39
If
f
(
x
)
=
1
-
f
(
1
-
x
)
, then the value of
f
1
999
+
f
2
999
+
…
+
f
998
999
is :
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT
>
Chapter 17 - SNAP
>
CMAT
>
Q 40
Let
f
(
x
)
=
x
2
and
g
(
x
)
=
x
, then :
