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
None of these
In a Euclidean plane, which one of the following is not an equivalence relation?
Parallelism of lines
Congruence of triangles
Similarity of triangles
Orthogonality of lines.
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
Transitive
All of these
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)}
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
A function is said to be bijective if it is
One-one
Onto
Both (1) & (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
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.
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 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)}
