Which one of hte following is correct?
The relation R= {(1,1), (2,2),(3,3)} on a set A= {1,2,3} is
Only reflexive
Only symmetric
Only transitive
Reflexive, symmetric and transitiive.
Cartesian product of two sets A and B is Ax B =
{(a,b); aA and bB}
{x; xA and B}
{(a,b); aB and bA}
None of these
Let f: R→R; f(x) = (x2-3x+2). Then f(f(y))=
x4+6x3+10x2-3x
x4-6x3-10x2-3x
x4-6x3+10x2-3x
x4+6x3-10x2+3x
If A = {1,2,3,4} and B = {2,3,5} then identify the correct relation, among the following from A to B given by xRy, iff x ‹ y
R = {(1,2), (1,3), (2,1), (2,3)}
R = {(3,2), (3,3), (3,4), (3,5)}
R = {(1,2), (1,3), (2,3), (2,5)}
R = {(1,3), (1,5), (3,2), (4,2)}
Let R be a set of real numbers and let S be a relaion defined on R as follows. xSy, iff x2+y2=1.
Which one of the following statements is correct?
S is a reflexive relation
S is a symmetric relation
S is a transitive relation
S is an anti-symmetric relation
A function is said to be bijective if it is
One-one
Onto
Both (1) & (2)
Let x be any non empty set containing n elements. Then what is the number of relations on x?
2n
22n
n2
Let A = {2,3,4,5} and R= {(2,2), (3,3), (4,4) (5,5) } be a relation in A then R is
Reflexive
Symmetric
Trasitive
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.
The relation R from A = {11,12,13} to B = {8,10,12} defined by y = x-1 is
{(11,10), (13,12)}
{(10,11), (12,13)}
{(10,11), (12,13), (13,12)}