If R is a relation from {11,12,13} to { 8,10,12} and is defined by y= x-3, then find teh value of R-1.
{ (11,8), (10,13)}
{ (8,11), (10,13)}
{ (11,10), (8,13)}
{ (8,10), (11,13)}
If m elements are in a set A and n elements are in set B, then number of elements in set AxB is
m
n
mn
less than mn
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
If A= {2,3} and B= {1,2} then BxA is equal to
{(2,1), (2,2), (3,1) (3,2)}
{(1,2), (1,3), (2,2), (2,3)}
{(2,1), (3,2)}
{(1,2), (2,3)}
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 A= {2,3} and B= {1,2}, then AxB is equal to
{(2,1), (2,2), (3,1), (3,2)}
{(1,2), (1,3), (2,2), (2,3) }
{(2,2), (3,2)}
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
Q= (sin+cos). Which of the following is the correct range of Q?
-2 ≤Q
-2
-√2 ≤ Q≤√2
-√2
If AxB= {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3) } then B is equal to
{1,2}
{1,2,3}
{2,3}
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}
