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Class 11
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Relations and Functions
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Relations and functions
relations and functions
Browse All Exercises
Exercise 2.1
Exercise 2.2
Exercise 2.3
Miscellaneous Exercise
Exercise
Determine the domain and range of the relation
$R$
defined by
$R={(x,x+5):x∈{0,1,2,3,4,5}}$
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>
Let
$A={x,y,z}$
and
$B={1,2}$
. Find the number of relations from
$A$
to
$B$
.
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>
$A={1,2,3,5}$
and
$B={4,6,9}$
. Define a relation
$R$
from
$A$
to
$B$
by
$R={(x,y):$
the difference between
$x$
and
$y$
is odd
$x∈A,y∈B}$
. Write
$R$
in roster form
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>
Let
$R$
be the relation on
$Z$
defined by
$R=$
${(a,b):a,b∈Z,a−b$
is an integer
$}$
. Find the domain and range of
$R.$
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>
Write the relation
$R={(x,x_{3}):xis a prime number less than 10}$
in roster form
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>
Let
$A={1,2,3,4,6}$
and
$R$
be the relation on
$A$
defined by
${(a,b):a,b∈A,b$
is exactly divisible by
$a}$
(i) Write
$R$
in roster form
(ii) Find the domain of
$R$
(iii) Find the range of
$R$
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>
Let
$A={1,2,3,....,14}$
. Define a relation
$R$
from
$A$
to
$A$
by
$R={(x,y):3x−y=0$
where
$x,y∈A}$
. Write down its domain, co-domain and range.
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>
Define a relation
$R$
on the set
$N$
of natural numbers by
$R={(x,y):y=x+5,x$
is a natural number less than
$4;x,y∈N}$
. Depict this relationship using roster form. Write down the domain and the range.
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>
The figure shows a relationship between the sets
$P$
and
$Q$
. Write this relation in
(i) in set-builder form (ii) roster form
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>