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Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3}), what type of relation is (R={(1,1),(2,2),(3,3),(2,3),(3,2)})?

Class 12 · Mathematics

Which property replaces symmetry in a partial order relation?

Class 12 · Mathematics

What does an equivalence relation form in a set?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is transitive and ((2,5)\in R), ((5,9)\in R), which pair must be in (R)?

Class 12 · Mathematics

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

Class 12 · Mathematics

A relation has no diagonal pair. Which property does this indicate?

Class 12 · Mathematics

All diagonal pairs are present in a relation. Which property is immediately indicated?

Class 12 · Mathematics

Which property does the empty relation not satisfy on a non-empty set?

Class 12 · Mathematics

If (A={1,2}), which pair must be present in the universal relation?

Class 12 · Mathematics

If (A={a,b}), which one is the identity relation?

Class 12 · Mathematics

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

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

Class 12 · Mathematics

On (A={1,2,3}), which property is clearly satisfied by (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)})?

Class 12 · Mathematics

On real numbers, (aRb) iff (a\le b). Which statement is correct?

Class 12 · Mathematics

On R, define aRb if and only if a−b is rational. What is the equivalence class of √2?