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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade VIII - Relations and Mapping
Question
1
1.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
6
x
+
2
)
and A =
{5,4,1,7}
,
find the range
{26,44,32}
{32,26,8,44}
{8,10,1,26,44,32}
{26,27,-12,44}
{8,26,32,43}
Question
2
2.
Find the co-domain of given relation diagram.
{9,2,1}
{9,2,1,10}
{10,3,8,7}
{3,7}
{10,3,8,7,2}
Question
3
3.
If A =
{3,4}
and B =
{8,5,9}
, then
A ✕ B
is
II
IV
I
III
Question
4
4.
If
f
(
t
)
=
(
6
t
2
+
6
t
+
1
)
then find
f
(
3
x
+
4
)
(
53
x
2
+
162
x
+
121
)
(
55
x
2
+
162
x
+
121
)
(
54
x
2
+
162
x
+
121
)
(
52
x
2
+
162
x
+
121
)
(
57
x
2
+
162
x
+
121
)
Question
5
5.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
9
x
−
2
)
and domain of
f
is
{x : -3 ≤ x ≤ 1}
{-29,-20,-2,7,-13}
{-29,-20,-11,-2,8}
{-29,-20,-11,-2,7}
{-29,-11,-2,7,-18}
{-20,-11,-2,7,-30}
Question
6
6.
If A =
{2,3,4,8,7}
and B =
{9,10,2,8,5,3}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is equal of
b ∈ B
is
{(2,2),(8,8),(3,3),(5,5)}
{(2,2),(3,3)}
{(2,2),(8,8),(3,3),(4,4)}
{(2,2),(8,8),(4,2)}
{(2,2),(8,8),(3,3)}
Question
7
7.
Which of the following are true?
a)
(a,b)
⊂
{a,b}
b)
(a,b)
∈
{(a,b)}
c)
a
∈
(a,b)
d)
(a,b) = (b,a)
e)
(a,b)
≠
{a,b}
{a,b}
{b,e}
{d,a,b}
{c,e}
{c,e,b}
Question
8
8.
If
f
(
x
)
=
(
5
x
+
2
)
, then find
f
(
8
)
45
42
41
43
39
Question
9
9.
If A =
{4,2,7}
and B =
{16,49,4,36,64,81}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is the square root of
b ∈ B
is
{(4,16),(2,4),(50,6)}
{(4,16),(7,49),(4,2)}
{(4,16),(2,4),(7,49)}
{(4,16),(2,4),(7,49),(4,2)}
{(4,16),(7,49)}
Question
10
10.
If A =
{b,d,p}
and B =
{i,a,m}
,
which of the following is relation
R
:
B
→
A
?
{(p,m),(b,i),(d,a),(b,m),(d,m)}
{(o,d),(o,b),(o,p),(r,d),(j,b)}
{(i,d),(a,p),(m,b),(m,p),(a,b)}
{(p,o),(p,r),(b,o),(d,r),(d,o)}
{(i,j),(a,r),(m,r),(a,j),(i,o)}
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