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)}
None of these
Domain of √(4x - x2) is
[0,4]
(0,4)
R -(0,4)
R -[0,4]
If the set A has 3 elements and the set B = {a,b,c} Then the number of elements in A x B is
9
6
27
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
Transitive
If A = {x : x2 - 3x + 2 = 0} and R is a universal relation on A, then R is
{(1, 1), (2, 2)}
{(1, 1)}
{?}
{(1, 1), (1,2), (2,1), (2,2)}
If A = {5, 6, 7} and B = {1, 2, 3, 4}, then number of elements in set A × B × B is equal to.
36
48
16
Let function f:R → R be defined by f(x) = 2x + sin x for x R. Then, f is.
one-to-one and onto
one-to-one but not onto
onto but not one-to-one
neither one-to-one nor onto
If A = {1,2,3} and B = {x,y,z} then the number of injections from A in to B is
3
If A × B = {(1,1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}, then A is equal to.
{1, 2}
{1, 2, 3}
{2, 3}
In an Euclidean plane, which one of the following is not an equivalence relation.
Parallelism of lines
Congruence of triangles
Similarity of triangles
Orthogonality of lines
