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)}
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)}
The period of the function f(x) = sin3x + cos3x is
2∏
∏
2∏/3
None of these
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
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}
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 range of the function f(x) = x - 2/2 - x, x ≠ 2 is
1
-1
{1}
{-1}
If A × B = {(1,1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}, then A is equal to.
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)}
