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WorksheetsRelations and Functions XI/XII
Total questions: 20
Worksheet time: 20mins
A relation R is defined in set A = {1, 2, 3} as R = {(1, 2), (2, 1), (1, 1)}. The relation R is
Reflexive
Symmetric
Transitive
Symmetric and Transitive
In the given mapping from X to Y, it is an example of
Relation but not a function
Relation and also a function
Function but not a relation
Neither relation nor function
Here f(x) is
Function but not the relation
Relation but not the function
Function & relation
Neither function nor relation
It is not a function because
-2 has two images 1 and 3
1 is the image of -2 and 3
it is a function, as all x has image in y
images are not one to one
The range of the function is
{-1, 1, 7, 5}
{1, 49, 25}
{-1, 1, 5, 7, 25, 49}
it is not a function
Name the type of function
One - one
Onto
Bijective
It is not a function
The range of the relation is
{-2, -2, 0, 1, 3}
{1, 3, -3, 4, 1}
{-2, 0, 1, 3}
{-3, 1, 3, 4}
If A = {1, 2, 3} and relation R = {(2, 3)} in A. Relation R is
Reflexive
Symmetric
Transitive
None of these
The domain of the function f : R → R defined by f(x) = 4−x2 is
{-2, 2}
(-2, 2)
[-2, 2]
R - [-2, 2]
If f : R → R is defined by f(x) = 3x + 2, define f {f(x)}.
9x + 4
9x2 + 6x + 4
9x + 8
9x2 + 8
If codomain and range are same for a function f from A to B then the function is
One-one
Many one
Onto
Bijective
Let A = {1, 2, 3, 4, 5} and B = {x:x is a letter of English alphabet} and a relation R from A to B is defined as R = {(a, b) : b is the first letter for the number a}. Here relation R is
One-one function
Onto function
many one function
Not a function
A relation is a set of
Functions
Ordinates
sets
ordered pairs
Which of the following relations is a function?
{(0, 0), (0, 1), (1, 2)}
{(0, 0}, (1, 2), (2, 3)}
{(3, 1), (4, 1), (3, 2)}
{(1, 1), (1, 2), (1, 3)}
Which of the following relations is a function?
{(3,7), (3, 6), (5, 3)}
{(0, 4), (5, 6), (5, 8)}
{(1, 2), (-1, 3), (-1, 8)}
{(1, 2), (2, 2), (3, 4)}
The set of the second elements of the ordered pairs forming a relation is called its
Subset
Complement
Range
codomain
Graph of a linear function geometrically represents a
Circle
Parabola
Straight line
hyperbola
If A is non-empty set, then any subset of A × A is called _____ on A
Domain
Range
Function
Relation
The one-one function is
Straight line
Circle
Parabola
Ellipse
Let A and B any non-empty sets, then A ∪ (A ∩ B) is
B ∩ A
A
A ∪ B
B
