EduSahara™ Worksheet

EduSahara™ Worksheet

Name : Chapter Based Worksheet

Chapter : Relations and Mapping

Grade : ICSE Grade VIII

License : Non Commercial Use

Question 1

1.

Find the co-domain of given relation diagram.

(i)

{1,10,3}
(ii)

{9,4,8,5,7,3}
(iii)

{3,6,1,2,10}
(iv)

{3,6,1,2,10,7}
(v)

{9,4,8,5,7}

Question 2

2.

If A =
{a,i,q,o}
and B =
{p,d,n,b}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(q,f),(o,m),(o,e),(i,m),(a,e)}
(ii)

{(d,g),(n,e),(n,m),(p,m),(p,f)}
(iii)

{(i,p),(q,p),(i,d),(q,d),(i,n)}
(iv)

{(p,i),(p,o),(b,a),(n,a),(p,q)}
(v)

{(m,a),(g,i),(m,o),(f,q),(e,i)}

Question 3

3.

find the range

(i)

{55,28,91}
(ii)

{-17,55,64,28,91,-16}
(iii)

{55,91,46,28}
(iv)

{64,91,28,55}
(v)

{75,28,60,64}

Question 4

4.

Find the domain in the given roster form,

where R =
{(4,6),(2,3),(9,7),(1,8),(9,6)}

(i)

{2,1,9,10,4}
(ii)

{4,2,9,1,6}
(iii)

{2,1,9,10,4,3}
(iv)

{7,8,6,3}
(v)

{4,2,9,1}

Question 5

5.

Which of the following relations
R

:

A

→

B
represent a function,

given A =
{10,2}
and B =
{1,6,7}
?

(i)

III
(ii)

I
(iii)

II
(iv)

IV

Question 6

6.

Write the relation
R

:

A

→

B
in the given diagram,

where A =
{3,5,6,8,2}
and B =
{4,9,7}

(i)

{(3,4),(6,7),(5,9),(3,7),(4,6)}
(ii)

{(3,4),(6,4),(5,9),(3,7)}
(iii)

{(3,4),(6,4),(6,7),(5,9),(3,7),(4,6)}
(iv)

{(3,4),(6,4),(5,9),(3,7),(8,5)}
(v)

{(3,4),(6,4),(6,7),(5,9),(3,7)}

Question 7

7.

If
f

(

x

)

=

(

8

x

+

2

)
, then find
f

(

9

)

(i)

73
(ii)

74
(iii)

76
(iv)

71
(v)

75

Question 8

8.

If n(A) = 4 and n(B) = 3 then the number of possible relations from A → B is

(i)

4098
(ii)

4095
(iii)

4096
(iv)

4094
(v)

4092

Question 9

9.

Let
f

:

R

→

R
be a function defined by given conditions

f

(

x

)
=
(

9

x

+

8

)
if
x

<

0

f

(

x

)
=
(

4

x

+

4

)
if
0

≤

x

≤

2

f

(

x

)
=
(

9

x

+

5

)
if
x

>

2

find
f

(

x

)
where x =
0

(i)

8
(ii)

3
(iii)

5
(iv)

4

Question 10

10.

If
f

(

x

)

=

(

8

x

+

4

)
and
g

(

x

)

=

(

2

x

2

+

9

x

−

5

)
,

find the value of

f

(

3

)

+

f

(

1

)

+

f

(

-1

)

g

(

1

)

+

g

(

-1

)

+

g

(

5

)

(i)

5
7
(ii)

3
5
(iii)

1
7
(iv)

1
3
(v)

3
7

Question 11

11.

Find the cardinality of the given relation

(i)

8
(ii)

7
(iii)

5
(iv)

6
(v)

9

Question 12

12.

(i)

(

28

x

2

−

122

x

+

137

)
(ii)

(

25

x

2

−

122

x

+

137

)
(iii)

(

29

x

2

−

122

x

+

137

)
(iv)

(

27

x

2

−

122

x

+

137

)
(v)

(

30

x

2

−

122

x

+

137

)

Question 13

13.

(i)

27,34
(ii)

28,35
(iii)

25,32
(iv)

29,36
(v)

26,33

Question 14

14.

(i)

IV
(ii)

III
(iii)

II
(iv)

I

Question 15

15.

Which of the following relations is a function
f

:

A

→

B
,

where A =
{j,a,e,n}
and B =
{a,k,c,h}
?

(i)

{(e,k),(a,a),(n,a),(a,j)}
(ii)

{(e,k),(j,a),(n,a)}
(iii)

{(e,k),(j,a),(a,a),(n,a),(a,j)}
(iv)

{}
(v)

{(e,k),(j,a),(a,a),(n,a)}

Question 16

16.

If A =
{s,c,i}
and B =
{j,m,k}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(o,i),(o,c),(q,i),(f,i),(r,c)}
(ii)

{(k,o),(k,h),(j,f),(j,o),(k,q)}
(iii)

{(c,o),(c,r),(i,r),(s,h),(c,q)}
(iv)

{(m,c),(m,s),(j,s),(m,i),(k,s)}
(v)

{(i,k),(s,m),(c,k),(c,m),(s,k)}

Question 17

17.

If A =
{10,40,4,9}
and B =
{5,3,10}
,

(i)

{(10,5),(10,10),(40,10),(9,3),(6,39)}
(ii)

{}
(iii)

{(10,5),(10,10),(40,5),(40,10),(9,3)}
(iv)

{(10,5),(10,10),(40,10),(9,3)}

Question 18

18.

Which of the following are true?

a)	(a,b) ∈ {(a,b)}
b)	(a,b) = (b,a)
c)	(a,b) ≠ {a,b}
d)	a ∈ (a,b)
e)	(a,b) ⊂ {a,b}

(i)

{a,c}
(ii)

{d,c,a}
(iii)

{d,c}
(iv)

{e,b,a}
(v)

{b,a}

Question 19

19.

Which of the following relations does not represent a function
f

:

A

→

B
,

where A =
{d,o,l,e,m,c}
and B =
{f,h,k,b,j}
?

(i)

{(e,j),(o,f),(m,h),(d,j),(l,k),(c,h)}
(ii)

{(m,h),(c,j),(e,f),(d,k),(e,j),(l,h)}
(iii)

{(m,j),(o,b),(e,f),(l,j),(d,b),(c,h)}
(iv)

{(c,f),(o,k),(e,b),(l,b),(d,j),(m,b)}
(v)

{(m,h),(l,h),(d,j),(o,b),(e,h),(c,h)}

Question 20

20.

and domain of
f
is
{x : -5 ≤ x ≤ -1}

(i)

{-33,-25,-17,-9,-39}
(ii)

{-41,-33,-25,-17,-10}
(iii)

{-41,-33,-25,-17,-9}
(iv)

{-41,-33,-25,-9,-19}
(v)

{-41,-33,-17,-9,-24}

Question 21

21.

Which of the following relations is a function given ,

A =
{8,9,1,6,7,3}
and B =
{3,1,4,2}
?

(i)

{(8,4),(9,4),(1,2),(6,3),(7,3),(3,3)}
(ii)

{(8,4),(9,4),(1,2),(7,3),(3,3)}
(iii)

{(8,4),(9,4),(6,3),(7,3),(3,3),(2,1)}
(iv)

{(8,4),(9,4),(1,2),(6,3),(7,3),(3,3),(2,1)}
(v)

{(8,4),(9,4),(1,2),(7,3),(3,3),(4,5)}

Question 22

22.

Which of the following does not represent a function
f

:

A

→

B
,

where A =
{8,2,6,10,7,3}
and B =
{1,5,9,4}
?

(i)

{(10,9),(3,9),(8,4),(2,9),(7,4),(6,9)}
(ii)

{(8,9),(7,9),(6,4),(2,9),(10,5),(3,1)}
(iii)

{(3,4),(10,1),(6,4),(2,4),(8,9),(7,5)}
(iv)

{(2,4),(7,1),(6,1),(3,4),(10,1),(8,9)}
(v)

{(6,5),(7,1),(2,1),(8,4),(3,1)}

Question 23

23.

Which of the following does not represent a function
f

:

A

→

B
,

where A =
{5,1,3,7}
and B =
{9,4,2,8,10,6}
?

(i)

{(5,8),(7,10),(1,2),(3,4)}
(ii)

{(5,8),(7,9),(3,8),(1,4)}
(iii)

{(3,10),(5,10),(1,10),(7,6)}
(iv)

{(7,10),(3,8),(1,10),(5,8)}
(v)

{(5,8),(3,4),(7,9),(5,6)}

Question 24

24.

(i)

(

2
7

,

(
-1
4
)

)
(ii)

(

2
5

,

(
-1
2
)

)
(iii)

(

4
5

,

(
-1
2
)

)
(iv)

(

(
-1
2
)

,

2
5

)
(v)

(

2
5

,

-1

)

Question 25

25.

Find the domain and range of the given relation

R

:

A

→

B
=
{(1,3),(1,5),(1,8),(1,1),(2,3),(2,5),(2,8),(2,1),(4,3),(4,5),(4,8),(4,1)}

(i)

A = {-8,4,1} , B ={5,-9,11,1}
(ii)

A = {2,4,8} , B ={1,3,8}
(iii)

A = {6,1,4,2} , B ={10,5,8,6,1}
(iv)

A = {1,2,4} , B = {3,5,8,1}
(v)

A = {13,2,1} , B ={5,10,1,3}

Assignment Key