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Worksheets

11Ch2

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.

If : X={1,2} and Y={3,4} , then: (1,4)∈......

a)

X × Y

b)

X × X

c)

Y × Y

d)

Y × X

2.

{ 3 } x { } = .....

a)

{ }

b)

(3,3)

c)

{3,3}

d)

{(3,3)}

3.

If : ( 5 , 𝒙 − 8 ) = ( 𝒚 + 1 ,- 5 ) , then : 𝒙 + 𝒚 = ......

a)

4

b)

7

c)

5

d)

6

4.

Number of empty relations that can be defined on the set A = {1, 2, 3} is

a)

8

b)

511

c)

512

d)

1

5.

If R is a relation from a set A to a set B, then

a)

RB×AR\subset B\times A

b)

R=A×B

c)

R⊂A×B

d)

none of these

6.

If A = {1, 2, 3} and B = {4, 5}, then

a)

(4,1)A×B\left(4,1\right)\in A\times B

b)

(2,5)A×B\left(2,5\right)\in A\times B

c)

(1,4)B×A\left(1,4\right)\in B\times A

d)

none of these

7.

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by 'x is greater than y'. The intersection of domain and range of R is

a)

{1, 4, 6, 9}

b)

{4, 6, 9}

c)

{1}

d)

{ }

8.

If  R={(x,y): x, yZ, x2+y24}R=\left\{\left(x,y\right):\ x,\ y\in Z,\ x^2+y^2\le4\right\}  is a relation on Z, then domain of R is

a)

{0, 1, 2}

b)

{0, - 1, - 2}

c)

{- 2, - 1, 0, 1, 2}

d)

none of these

9.

The range of the relation R = {(x, x2) | x is a prime number less than 13} is

a)

{2, 3, 5, 7}

b)

{2, 3, 5, 7, 11}

c)

{4, 9, 25, 49, 121}

d)

{1, 4, 9, 25, 49, 121}

10.

If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

a)

3

b)

2

c)

4

d)

8

11.

 If n(A×B)=12 then which of the following is not possibleIf\ n\left(A\times B\right)=12\ then\ which\ of\ the\ following\ is\ not\ possible  

a)

n(A) = 1, n(B) = 12

b)

n(A) =4 , n(B) =3

c)

n(A) = 6, n(B) =6

d)

n(A) = 3, n(B) = 4

12.

If n(A) = 3 ,n(B) = 2 and (4,3) , (5,3) and (7,1) are three ordered pairs of AxB then

a)

A= {4,3,5} ,B = {7 , 1 }

b)

A = { 4,5,3 } , B = {3,1}

c)

A = { 4,5,7 } , B = {1, 3 }

d)

A = { 4, 5 ,7 }, B = {3,5 }

13.

 Range of a function f(x)= 16 x2 isRange\ of\ a\ function\ f\left(x\right)=\ \sqrt{16^{ }\ -x^2}\ is  

a)

Range = [-4,4]

b)

Range =  [0,4]

c)

Range = (0,4)

d)

Range = (-4, 4)

14.


 Domain  and  range  offunctionf(x)=x isDomain\ \ and\ \ range\ \ offunctionf(x)=\left|x\right|\ is  

a)

Domain = R  & Range = R

b)

 Domain=R   &  Range=R+Domain=R\ \ \ \&\ \ Range=^{ }R^+  

c)

 Domain=R  &  Range=RDomain=R\ \ \&\ \ Range=R^-  

d)

 Domain=R   &  Range= [0, )Domain=R\ \ \ \&\ \ Range=\ \left[0,\ \infty\right)  

15.

What is the value of [-2.00001]

a)

-2

b)

-3

c)

2.00001

d)

2

16.

Which relation is not a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

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

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

17.

If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

a)

3

b)

2

c)

4

d)

8

18.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
19.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
20.

Domain of 12x\frac{1}{2-x} is

a)
All integers except 2
b)
Only positive numbers
c)
All real numbers
d)
All real numbers except 2
21.

Range of 12x\frac{1}{2-x} is

a)

All integers except 0

b)
Only positive numbers
c)

All real numbers except 0

d)

All real numbers except 2

22.

Domain of x3\sqrt[]{x-3} is

a)
[3, ∞)
b)
[0, 3)
c)
(3, 5)
d)
(−∞, 3)
23.

Range of x3\sqrt[]{x-3} is

a)
[1, 10]
b)
(0, 5)
c)
[-3, 0)
d)
[0, ∞)
24.

Range of   x5-\ \ \sqrt[]{x-5}

a)
(-∞, 0]
b)
(-∞, -1)
c)
[0, ∞)
d)
(0, 1)
25.

Domain of x27\sqrt[]{x^2-7}

a)
[-√7, √7]
b)
(-∞, -√7) ∪ (√7, ∞)
c)
(-√7, √7)
d)
(-∞, -√7] ∪ [√7, ∞)