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Relations and Functions
- Online Test
Relations and Functions
TEST : 9
Relations and Functions
Prepare / Learn
Q1.
If A = {(x, y) :
x
2
+
y
2
=
5
and B = {(x, y) : 2x = 5y}, then
A
∩
B
contains
A.
no point
B.
nfinite points
C.
one-point
D.
two points
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q2.
If f : R
→
R is given by f (x) = | x | and
A
=
{
x
∈
R
:
x
<
0
}
, then
f
−
1
(
A
)
equals
A.
R
B.
A U {0}
C.
ϕ
D.
A
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q3.
If f : N ××N →→N is such that f (m, n) = m + n where N is the set of natural number, then which of the following is true ?
A.
f is one-one and onto
B.
f is neither one-one nor onto
C.
f is on-one but not onto
D.
f is onto but not one-one
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q4.
The function sin
(
sin
x
3
)
is periodic with period
A.
6π
B.
4π
C.
2π
D.
8π
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q5.
If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to
A.
A∩(B∪C)
B.
A∪(B∩C)
C.
A×(B∪C)
D.
A×(B∩C)
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q6.
The function f(x) =
10
x
from R to [0,
∞
) is
A.
a constant function
B.
one-one and onto
C.
an identity function
D.
one-one and into
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q7.
For all x ∈ (0, 1)
A.
log
e
(1+x)<
x
B.
sin x >> x
C.
e
x
<
1
+
x
D.
log
e
x
>
x
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q8.
The domain of the function
f
(
x
)
=
x
−
1
−
−
−
−
√
+
6
−
x
−
−
−
−
√
A.
[1, 6]
B.
none of these
C.
[1, 6]
D.
(-∞, 6)
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q9.
Let f (x) =
x
2
and g (x) =
x
−
−
√
,
,
then
A.
(fog) (2) = 4
B.
(fog) (3) = 6.
C.
(gof) (-2) = 2
D.
(gof) (2) = 4
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q10.
Suppose that g (x) = 1 +
x
−
−
√
and f ( g (x)) = 3 + 2
x
−
−
√
+ x, then f (x) is
A.
2 + x
B.
1
+
2
x
2
C.
2+
x
2
D.
1+x
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
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Relations and Functions
TEST : 9
Relations and Functions
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