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Class 12 · Mathematics · Easy

If a relation is reflexive, antisymmetric and transitive, what is it called?

Class 12 · Mathematics · Easy

If a relation is reflexive and antisymmetric, is it always a partial order relation?

Class 12 · Mathematics · Easy

If a relation is reflexive and symmetric, is it always an equivalence relation?

Class 12 · Mathematics · Easy

If a relation is reflexive, must it also be symmetric?

Class 12 · Mathematics · Easy

If a relation is symmetric, must it also be reflexive?

Class 12 · Mathematics · Easy

Which properties does the empty relation have on a non-empty set?

Class 12 · Mathematics · Easy

Why is the universal relation always symmetric?

Class 12 · Mathematics · Easy

Which relation is reflexive, symmetric and transitive on every set?

Class 12 · Mathematics · Easy

Which relation is reflexive and symmetric on every set?

Class 12 · Mathematics · Easy

Why is (R={(1,2),(2,1),(1,3)}) not symmetric on (A={1,2,3})?

Class 12 · Mathematics · Easy

On real numbers, (aRb) iff (a\ne b). Is this relation symmetric?

Class 12 · Mathematics · Easy

On natural numbers, (aRb) iff (a\mid b). Why is it not symmetric?

Class 12 · Mathematics · Easy

Why is (R={(1,2),(2,1)}) not antisymmetric on (A={1,2})?

Class 12 · Mathematics · Easy

Is (R={(1,1),(2,2),(1,2)}) antisymmetric on (A={1,2})?

Class 12 · Mathematics · Easy

On (A={1,2,3}), which property does (R={(1,2),(2,1),(3,3)}) satisfy?

Class 12 · Mathematics · Easy

Which property replaces symmetry in a partial order relation?

Class 12 · Mathematics · Easy

If (R) is antisymmetric and (a\ne b), what is correct about ((a,b)) and ((b,a))?

Class 12 · Mathematics · Easy

If (R) is symmetric and ((4,7)\in R), which pair must be in (R)?

Class 12 · Mathematics · Easy

Which relation type has every element related to itself and also has the reverse of every related pair, but transitivity still needs to be checked?

Class 12 · Mathematics · Easy

If a relation is both symmetric and antisymmetric, what kind of pair can occur between distinct elements?