Maths-
General
Easy
Question
Let
be a family of sets and
be a relation on
defined by
is disjoint from
Then,
is
- Reflexive
- Symmetric
- Antisymmetric
- Transitive
The correct answer is: Symmetric
Clearly, the relation is symmetric but it is neither reflexive nor transitive
Related Questions to study
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Let
denote the set of all straight lines in a plane. Let a relation
be defined by
Then
is
Let
denote the set of all straight lines in a plane. Let a relation
be defined by
Then
is
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Suppose
are thirty sets, each having 5 elements and
are
sets each with 3 elements, let
and each element of
belongs to exactly 10 of the
's and exactly 9 of the
's. Then,
is equal to
Suppose
are thirty sets, each having 5 elements and
are
sets each with 3 elements, let
and each element of
belongs to exactly 10 of the
's and exactly 9 of the
's. Then,
is equal to
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Let
Then,
is
Let
Then,
is
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Three sets
are such that
and
, then
Three sets
are such that
and
, then
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If
is a non-empty set, then which of the following is false?
Every reflexive relation is a symmetric relation
Every antisymmetric relation is reflexive
Which of the following is/are true?
If
is a non-empty set, then which of the following is false?
Every reflexive relation is a symmetric relation
Every antisymmetric relation is reflexive
Which of the following is/are true?
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If
, then
is equal to
If
, then
is equal to
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If
and
are two sets such that
and
Then the greatest possible value of
is
If
and
are two sets such that
and
Then the greatest possible value of
is
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The relation “is a factor of” on the set
of all natural numbers is not
The relation “is a factor of” on the set
of all natural numbers is not
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The value of
is
The value of
is
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Let 
Then,
Let 
Then,
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The relation
is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in
so that
is an equivalence relation, is
The relation
is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in
so that
is an equivalence relation, is
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If
and
then 
If
and
then 
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If
and
, then
If
and
, then
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If
and
are two sets, then
is equal to
If
and
are two sets, then
is equal to
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A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?
A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?
Maths-General