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Class 12 · Mathematics

Which statement gives the correct definition of a reflexive relation?

Class 12 · Mathematics

Is the empty relation (R=\varnothing) reflexive on (A={1,2})?

Class 12 · Mathematics

Is (R={(5,5)}) reflexive on (A={5})?

Class 12 · Mathematics

Which is the identity relation on (A={1,2,3})?

Class 12 · Mathematics

If (A={1,2,3}) and (R={(1,1),(2,2)}), why is (R) not reflexive?

Class 12 · Mathematics

The relation (R={(1,1),(2,2),(1,2)}) on (A={1,2}) is what?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (A={1,2,3,4}), how many compulsory pairs are needed in a reflexive relation?

Class 12 · Mathematics

For a reflexive relation on (A={a,b}), what is the minimum number of ordered pairs required?

Class 12 · Mathematics

If a relation (R) on (A={1,2,3}) is reflexive, which ordered pair must be in (R)?

Class 12 · Mathematics

On (A={1,2,3}), (R) is reflexive and (S) contains all pairs of (R). If (S) is also a relation on (A), what can be said about (S)?

Class 12 · Mathematics

A relation contains ((a,a)) for all (a\in A), but some ((a,b)) pairs are missing. Can the relation be reflexive?

Class 12 · Mathematics

In a reflexive relation (R) on (A={1,2,3,4}), how many self-pairs will be there at minimum?

Class 12 · Mathematics

On (A={1,2,3}), what must be done to make (R={(1,1),(2,2),(1,3),(3,2)}) reflexive?

Class 12 · Mathematics

On (A={1,2,3}), if one pair is added to (R={(1,1),(2,2),(3,3)}), which added pair will still keep (R) reflexive?

Class 12 · Mathematics

If (R) is reflexive and (A={4,5,6}), which statement is always true?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a\ne b}). What is correct about (R)?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a=b\text{ or }a=1}). Is (R) reflexive?

Class 12 · Mathematics

Which relation is not reflexive on (A={1,2})?

Class 12 · Mathematics

How many pairs are there in the universal relation on a set with (n) elements?