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)}
What is the value of x for which the function f(x) = 5/3x-2 becomes meaningless ?
5
3
3/2
2/3
Cartesian product of two sets A and B is Ax B =
{(a,b); a ∈ Aand b ∈ B}
{x; x∈A and B}
{(a,b); a∈B and b∈A}
None of these
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
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 is a relation from {11,12,13} to { 8,10,12} and is defined by y= x-3, then find the value of R-1.
{ (11,8), (10,13)}
{ (8,11), (10,13)}
{ (11,10), (8,13)}
{ (8,10), (11,13)}
If A = {1,2,3,4} and B= {5,6,7}, then number of relations from A to B is equal to
24
23
27
212
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)}
If A, B and C are non empty sets then Ax (B ∪ C)=
(AxB) ∩ (AxC)
(AxC) ∩ (AxA)
(AxB) ∪ (BxC)
(AxB) ∪ (AxC)
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