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)}
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
If A × B = {(1,1), (1,2), (1, 3), (2, 1), (2,2), (2, 3)}, then B is equal to.
{1, 2}
{1, 2, 3}
{2, 3}
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
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 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 × B = {(1,1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}, then A is equal to.
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
The range of the function f(x) = x - 2/2 - x, x ≠ 2 is
1
-1
{1}
{-1}
The period of the function f(x) = sin3x + cos3x is
2∏
∏
2∏/3