N is the set of natural numbers. The relations R is defined on NxN as follows.
(a,b) R (c,d) a+d= b+c is
Reflexive
Symmetric
Transitive
All of these
Let A= {2,3,4,5} and R= {(2,2), (3,3) (4,4), (5,5), (2,3), (3,2), (3,5), (5,3)} be a relation in A. Then R is
Reflexive and transitive
Reflexive and symmetric
Reflexive and anti symmetric
None of these
The relation R on a set A= {1,2,3,4} is defined as {(1,1), (1,3), (2,2), (2,3), (3,1),(3,2) }. Then R is
Anti -symmetric
If A= {1,2,3} and B= {3,4}, then (A B) X (A B) is
{3,3}
{(1,3), (2,3), (3,3), (1,4), (2,4), (3,4)}
{(1,3), (2,3), (3,3)}
{(1,3), (2,3), (3,3), (4,3)}
If R be a relation on NxN defined by (a,b) R (c,d) iff ad= bc; then R is
An equivalence relation
Symmetric and transitive but not reflexive
Reflexive and transitive but not symmetric
Reflexive and symmetric but not trasitive.
Let A= {a,b,c} and let R= {(a,b), (b,b), (c,a) (c,b). Then range of R-1
{a,b}
{a,b,c}
{a,c}
{b,c}
The void relation on a set A is
Reflexvie and symmetric
Transitive and symmetric
Domain of the relation {(-3,1) (-1,1) (1,0) (3,0)} is
{-3,-1,-1,3}
{-3,-1,1,3}
{1,1,0}
{1,0}
What is the value of x for which the function f(x) = 5/3x-2 becomes meaningless ?
5
3
3/2
2/3
