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WorksheetsCH_1(Relations and Functions)
Total questions: 10
Worksheet time: 5mins
Consider the non-empty set consisting of children in a family and a relation R is defined as aRb where a is a brother of b. Then R is
symmetric but not transitive
transitive but not symmetric
neither symmetric nor transitive
both symmetric and transitive
Let T be the set of all triangles in a Euclidean plane, and let a realtion R on T be defined as a Rb if a is congruent to b,for all a, b belongs to T. Then R is
reflexive but not transitive
transitive but not symmetric
equivalence
none of these
Which of the following functions from Z into Z are bijections
f(x) = x3
f(x) = x+2
f(x) = 2x +1
f(x) = x2 +1
The maximum number of equi
valence relations on the set A = {1,2,3} are
1
2
3
5
Let A = {1,2,3}. Then the number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is
1
2
3
4
Let f:A-->B and g:B-->C are bijective functions. Then (gof)⁻¹ is
f⁻¹og⁻¹
fog
g⁻¹of⁻¹
gof
Let R be a relation in the set {1,2,3,4} given by R={(1,2), (2,2), (1,1), (4,4), (1,3), (3 ,3), (3,2)} Then R is
a) R is Reflexive and symmetric but not transitive
a) R is Reflexive and transitive but not symmetric
a) R is symmetric and transitive but not reflexive
a) R is an equivalence relation
Let R be a relation on set of lines as L1 R L2 if L1 is perpendicular to L2. Then
R is Reflexive
R is Symmetric
R is Transitive
R is equivalence relation
Given a set A = {a , b, c} Then the identity relation is the set
{(a ,c) , (a ,b)}
{(a , a) , (b ,b) , (c ,c)}
{(a ,a), (b , a), (c , a)}
{(a , a) , (b ,b) , (c ,c), (a ,c)}
Which graph represents a function?
