A relation from P to Q is
Universal set of P × Q
P × Q
An equivalent set of P × Q
A subset of P × Q
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)}
The period of the function f(x) = sin3x + cos3x is
2∏
∏
2∏/3
None of these
If f(x) = 2x2 - 3x. Then the value of f(1) =
-1
1
can't be determined
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 √(4x - x2) is
[0,4]
(0,4)
R -(0,4)
R -[0,4]
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
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
Let A = {a,b,c,d}, B = {b,c,d,e}. Then n[(A × B) ∩ B × A)] is equal to
3
The range of the function f(x) = x - 2/2 - x, x ≠ 2 is
{1}
{-1}