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Worksheets11Ch2
Total questions: 25
Worksheet time: 49mins
If : X={1,2} and Y={3,4} , then: (1,4)∈......
X × Y
X × X
Y × Y
Y × X
{ 3 } x { } = .....
{ }
(3,3)
{3,3}
{(3,3)}
If : ( 5 , 𝒙 − 8 ) = ( 𝒚 + 1 ,- 5 ) , then : 𝒙 + 𝒚 = ......
4
7
5
6
Number of empty relations that can be defined on the set A = {1, 2, 3} is
8
511
512
1
If R is a relation from a set A to a set B, then
R⊂B×A
R=A×B
R⊂A×B
none of these
If A = {1, 2, 3} and B = {4, 5}, then
(4,1)∈A×B
(2,5)∈A×B
(1,4)∈B×A
none of these
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
{1, 4, 6, 9}
{4, 6, 9}
{1}
{ }
If R={(x,y): x, y∈Z, x2+y2≤4} is a relation on Z, then domain of R is
{0, 1, 2}
{0, - 1, - 2}
{- 2, - 1, 0, 1, 2}
none of these
The range of the relation R = {(x, x2) | x is a prime number less than 13} is
{2, 3, 5, 7}
{2, 3, 5, 7, 11}
{4, 9, 25, 49, 121}
{1, 4, 9, 25, 49, 121}
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
3
2
4
8
If n(A×B)=12 then which of the following is not possible
n(A) = 1, n(B) = 12
n(A) =4 , n(B) =3
n(A) = 6, n(B) =6
n(A) = 3, n(B) = 4
If n(A) = 3 ,n(B) = 2 and (4,3) , (5,3) and (7,1) are three ordered pairs of AxB then
A= {4,3,5} ,B = {7 , 1 }
A = { 4,5,3 } , B = {3,1}
A = { 4,5,7 } , B = {1, 3 }
A = { 4, 5 ,7 }, B = {3,5 }
Range of a function f(x)= 16 −x2 is
Range = [-4,4]
Range = [0,4]
Range = (0,4)
Range = (-4, 4)
Domain = R & Range = R
Domain=R & Range=R+
Domain=R & Range=R−
Domain=R & Range= [0, ∞)
What is the value of [-2.00001]
-2
-3
2.00001
2
Which relation is not a function?
{(1,-5), (3,1), (-5,4), (4,-2)}
{(2,7), (3,7), (4,7), (5,8)}
{(1,-5), (-1,6), (1,5), (6,-3)}
{(3,-2), (5,-6), (7,7), (8,8)}
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
3
2
4
8
Domain of 2−x1 is
Range of 2−x1 is
All integers except 0
All real numbers except 0
All real numbers except 2
Domain of x−3 is
Range of x−3 is
Range of − x−5
Domain of x2−7
