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Class 12 · Mathematics

Which relation is the empty relation on (A={1,2})?

Class 12 · Mathematics

If a relation contains only self-pairs, what is it commonly called?

Class 12 · Mathematics

In (R={(1,1),(1,2),(2,2)}), which pair is needed for transitivity because of ((1,2)) and ((2,2))?

Class 12 · Mathematics

If (A={x,y}), which one is the identity relation?

Class 12 · Mathematics

Which pair cannot be included in the universal relation on (A={1,2})?

Class 12 · Mathematics

If a relation is reflexive and symmetric but not transitive, will it be an equivalence relation?

Class 12 · Mathematics

Which type of relation is reflexive, symmetric and transitive?

Class 12 · Mathematics

On (A={1,2,3}), which properties does (R={(1,1),(2,2),(3,3)}) have?

Class 12 · Mathematics

If (A={1,2}) and (B={3,4,5}), how many pairs are there in (A\times B)?

Class 12 · Mathematics

A relation (R) is called a relation on (A). What does this mean?

Class 12 · Mathematics

If (A={1,2,3,4}), which pair must be present in the identity relation?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R={(1,2),(2,3),(1,3),(3,3)}), which pair is needed for transitivity based on ((1,2)) and ((2,3))?

Class 12 · Mathematics

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

Class 12 · Mathematics

Is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) symmetric on (A={1,2,3})?

Class 12 · Mathematics

If a relation contains all pairs of (A\times A), what is it called?

Class 12 · Mathematics

If a relation has no ordered pair at all, what is it called?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (A) has (2) elements, what is the total number of relations on (A)?

Class 12 · Mathematics

How many total pairs are there in (A\times A) for (A={1,2,3})?