For real numbers x and y, are wirte x R y . x2-y2+√3 is irrational number. Then the relation R is
Reflexive
Symmetric
Transitive
None of these
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}
Let A = {2,3,4,5} and R= {(2,2), (3,3), (4,4) (5,5) } be a relation in A the R is
Trasitive
A function is said to be bijective if its
One-one
Onto
Both (1) & (2)
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)}
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}
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
Q= (sin+cos). Which of the following is the correct range of Q?
-2 ≤Q
-2
-√2 ≤ Q≤√2
-√2
Two finite sets A and B having m and n elements. The total number of relation A to B is 64, then possible values of m and n are.
2 and 4
2 and 3
2 and 1
64 and 1