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}
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
None of these
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
The period of the function f(x) = sin3x + cos3x is
2∏
∏
2∏/3
If A = {1,2,3} and B = {x,y,z} then the number of injections from A in to B is
3
6
9
27
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, if and only if x < y:
R = {(1,2), (1, 3), (2,2), (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)}
Let A = {a,b,c,d}, B = {b,c,d,e}. Then n[(A × B) ∩ B × A)] is equal to
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}
Let R = {(1,3), (4, 2), (2, 4) (2, 3) (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is:
Reflexive
Transitive
Not symmetric
A function
The relation R defined on set A = {x: |x| < 3, x z} by R = {(x, y):y = |x|} is:
{(-2, 2), (-1, 1), (0,0), (1, 1), (2, 2)}
{(-2, -2), (-2, 2), (-1, 1), (-1, -1), (0, 0), (1, -2), (1, 2), (2, -1), (2, -2)}.
{(0, 0), (1, 1), (2, 2)}
