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Class 12 · Mathematics

If (R) consists only of self-pairs, which statement about (R) is correct?

Class 12 · Mathematics

Which relation can be reflexive, symmetric, antisymmetric and transitive all together?

Class 12 · Mathematics

Which relation is neither reflexive nor symmetric, but antisymmetric and transitive?

Class 12 · Mathematics

On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) a partial order?

Class 12 · Mathematics

For (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), choose the correct statement.

Class 12 · Mathematics

On real numbers, (aRb) if (a^2\le b^2). Why is this not a partial order?

Class 12 · Mathematics

A relation (aRb) holds if (|a|\le |b|). On real numbers, what type of relation is this?

Class 12 · Mathematics

A relation (aRb) holds if (a) and (b) have the same square. On real numbers, what type of relation is this?

Class 12 · Mathematics

If (R) is an equivalence relation, which property is not required?

Class 12 · Mathematics

If (R) is a partial order relation, which property is not required?

Class 12 · Mathematics

If (R) is an equivalence relation, by which property is (aRa) true for every element (a)?

Class 12 · Mathematics

If (R) is an equivalence relation and (aRb), by which property do we get (bRa)?

Class 12 · Mathematics

If (R) is an equivalence relation and (aRb), (bRc), which conclusion is correct?

Class 12 · Mathematics

When are the identity relation and universal relation the same?

Class 12 · Mathematics

If (A) is a non-empty set, which property does the universal relation definitely satisfy?

Class 12 · Mathematics

If (A) has (n) elements and is non-empty, which property does the empty relation satisfy?

Class 12 · Mathematics

If (A) has (5) elements, what is the number of relations that are both reflexive and symmetric?

Class 12 · Mathematics

If (A) has (5) elements, what is the number of symmetric relations on (A)?

Class 12 · Mathematics

If (A) has (5) elements, what is the number of reflexive relations on (A)?

Class 12 · Mathematics

If (A) has (5) elements, what is the total number of relations on (A)?