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
Domain of √(4x - x2) is
[0,4]
(0,4)
R -(0,4)
R -[0,4]
What is the value of x for which the function f(x) = 5/3x-2 becomes meaningless ?
5
3
3/2
2/3
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
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
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
The range of the function f(x) = x - 2/2 - x, x ≠ 2 is
1
-1
{1}
{-1}
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, 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)}
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}
